|
“Graduate (1991) PhD (Complutense U., Madrid, 1995). Associate professor (1997) and full professor (2002) in Applied Mathematics at the Mathematics Department of the University of Castilla-La Mancha. He has published more than 170 research papers with more than 11000 Google citations and has an H-index of 52. He is editor in chief of the journal “Physica D: “Nonlinear Phenomena” and serves in the editorial board of “npj Systems Biology and Applications”. He is the coordinator of the Applied Mathematics panel at the Spanish National Research Agency and has been a member of the Marie Curie evaluation committee and of many international project evaluation boards in oncology and/or applied mathematics in France, UK, Poland, Austria, Romania, Cyprus, Latvia, Spain, etc. His main field of research is the application of mathematical modeling to oncology and more specifically to brain tumors, metastasis, cellular immunotherapies, biomarkers, medical images, lymphomas, leukaemias, prostate cancer, etc. In this field he has led several projects funded by public institutions, private foundations such as the James S. Mc. Donnell Foundation and pharmaceutical companies such as NOVARTIS. More specifically he is interested in the development and validation of mechanistic mathematical models that shed light on oncological processes and may be used as platforms to personalize treatments and develop in-silico trials. Also he is interested in the development of mathematical model-based biomarkers of response to treatments.” |
-
Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
Physica D 238, 1462-1467 (2009).
V. Prytula, V. Vekslerchik, V.M. Perez-Garcia -
Dissipation-induced coherent structures in Bose-Einstein condensates
Phys. Rev. Lett. 102, 144101 (2009) .
V.A. Brazhnyi, V.V. Konotop, V.M. Perez-Garcia, H. Ott -
Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media
Chaos, Solitons and Fractals, 41, 1791-1798 (2009)
G.F. Calvo, J. Belmonte-Beitia, V.M. Perez-Garcia -
Liquidlike dynamics of optical beams in tailored coherent media
Physical Review A 79, 013833 (2009)
A. Alexandrescu, H. Michinel, V.M. Pérez-García -
Localization phenomena in Nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates
Physica D 238, 1352-1361 (2009)
V.M. Perez-Garcia, R. Pardo -
Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
Chaos, Solitons and Fractals 41, 1158–1166 (2009)
J. Belmonte-Beitia, V.V. Konotop, V.M. Perez Garcia, V.E. Vekslerchik -
Mapped Chebyshev pseudospectral method to study multiple scale phenomena
Computers Physics Communications 180, 912–919 (2009)
A. Alexandrescu, A. Bueno-Orovio, J.R. Salgueiro, V.M. Perez-Garcia -
Nonlinear phenomena in degenerate quantum gases
Physica D 238, 1289-1298 (2009).
V.M. Perez-Garcia, N.G. Berloff, P.G. Kevrekidis, V.V. Konotop, B.A. Malomed -
Nonperturbative vector solitary waves in four-level coherent media
Physical Review A 79, 063843 (2009)
A. Alexandrescu, J.R. Salgueiro, V.M. Pérez-García, H. Michinel -
Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Journal of Nonlinear Science, 19, 437-451 (2009).
J. Belmonte-Beitia, V.M. Perez-Garcia, P.J. Torres -
Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
Physical Review E, 78, 027601 (2008).
V. Prytula, V. Vekslerchik, V.M. Pérez-García -
Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
Discrete and Continuous Dynamical Systems B, 9, 221-233 (2008)
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, P. Torres -
Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Physical Review Letters 100, 164102 (2008).
J. Belmonte-Beitia, V.M. Pérez-García, V. Vekslerchik, V.V. Konotop -
Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
Physical Review A, 78, 013606 (2008).
D.A. Zezyulin, G.L. Alfimov, V.V. Konotop, V.M. Perez-Garcia -
Supersolitons: Solitonic excitations in atomic soliton chains
Physical Review Letters 101, 144101 (2008).
D. Novoa, B.A. Malomed, H. Michinel, V.M. Perez-Garcia -
Collapse in boson-fermion mixtures with all-repulsive interactions
Physical Review A 76, 043620 (2007).
V.I. Prytula, V.V. Konotop, V.M. Pérez-García, V.E. Vekslerchik -
Control of nonlinear modes by scattering-length management in Bose-Einstein condensates
Physical Review A 76, 013621 (2007).
D.A. Zezyulin, G.L. Alfimov, V.V. Konotop, V.M. Pérez-García -
Enhanced box and prism assisted algorithms for computing the correlation dimension
Chaos, Solitons and Fractals, 34, 509-518 (2007).
A. Bueno-Orovio, V.M. Pérez-García -
Levitation of spinor Bose-Einstein condensates: Macroscopic manifestation of the Franck-Condon effect
Europhysics Letters 80, 50005 (2007).
K. Nakamura, A. Kohi, H. Yamasaki, V. M. Pérez-García, V. V. Konotop -
Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Physical Review Letters 98, 064102 (2007).
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. Torres -
Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
Chaos, Solitons and Fractals, 32, 1268-1277 (2007).
J. Belmonte, V.M. Pérez-García, V. Vekslerchik -
Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation
Physical Review E 75, 046609 (2007) .
A. Alexandrescu, G.D. Montesinos, V.M. Pérez-García -
Symmetry-assisted vorticity control in Bose-Einstein condensates
Physical Review A 75, 033618 (2007).
V.M. Perez-Garcia, M.A. Garcia-March, A. Ferrando -
The method of moments for Nonlinear Schrodinger Equations: Theory and Applications
SIAM Journal on Applied Mathematics 67, 990-1015 (2007).
V.M. Pérez-García, G.D. Montesinos, P. Torres -
Analysis of an atom laser based on the spatial control of the scattering length
Physical Review A, 74, 013619 (2006).
A. Vázquez-Carpentier, H. Michinel, M.I. Rodas-Verde, V.M. Pérez-García -
Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
Physical Review A, 74, 023614 (2006).
V.A. Brazhnyi, V.V. Konotop, V.M. Pérez-García -
Dissipative solitons that cannot be trapped
Physical Review Letters 97, 254101 (2006).
R. Pardo, V.M. Pérez-García -
Driving defect modes of Bose-Einstein condensates in optical lattices
Physical Review Letters 96, 060403 (2006).
V.A. Brazhnyi, V.V. Konotop, V.M. Pérez-García -
Matter-wave solitons supported by dissipation
Physical Review A 73, 053610 (2006).
A. Alexandrescu, V.M. Pérez-García -
Similarity transformations of Nonlinear Schrodinger Equations with time-dependent coefficients
Physica D 221, 31-36 (2006).
V.M. Pérez-García, P. Torres, V.V. Konotop -
Spectral methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
SIAM Journal on Scientific Computing, 28, 886-900 (2006).
A. Bueno Orovio, V.M. Pérez García, F.H. Fenton -
Spectral Smoothed Boundary Methods: The role of external boundary conditions
Numerical Methods for Partial Differential Equations 22, 435-448 (2006).
A. Bueno Orovio, V.M. Pérez-García -
Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion
Journal of the Optical Society of America B 23, 56-61 (2006).
M.I. Rodas-Verde, G.D. Montesinos, H. Michinel, V.M. Pérez-García -
Turning light into a liquid via atomic coherence
Physical Review Letters 96, 023903 (2006).
H, Michinel, M.J. Paz Alonso, V.M. Pérez-García -
Controllable soliton emission from a Bose-Einstein condensate
Physical Review Letters, 95, 153903 (2005)
M.I. Rodas-Verde, H. Michinel, V.M. Pérez-García -
N-body dynamics of stabilized vector solitons
Chaos, 15, 033501 (2005).
G.D. Montesinos, M.I. Rodas-Verde, V.M. Pérez-García, H. Michinel -
Numerical studies of stabilized Townes solitons
Mathematics and Computers in Simulation, 69, 447-456 (2005).
G.D. Montesinos, V.M. Pérez-García -
Stabilized vortex solitons in layered Kerr media
Physical Review E, 71, 036624 (2005).
G.D. Montesinos, V.M. Pérez-García, H. Michinel, J.R. Salgueiro -
Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V.M. Pérez-García, J. Belmonte -
Feshbach resonance induced shock waves in Bose-Einstein condensates
Physical Review Letters, 92 , 220403 (2004).
V.M. Pérez-García, V.V. Konotop, V.A. Brazhnyi -
Solitones estabilizados
Revista Española de Física, Julio-Septiembre, 57-60 (2004).
G.D. Montesinos, V.M. Pérez-García -
Stabilization of solitons of the multidimensional Nonlinear Schrodinger equation: Matter-wave breathers
Physica D, 191, 193-210 (2004).
G.D. Montesinos, V.M. Pérez García, P. Torres -
Stabilized two-dimensional vector solitons
Physical Review Letters, 92, 133901 (2004).
G.D. Montesinos, V.M. Pérez-García, H. Michinel -
Three-dimensional parallel vortex rings in Bose-Einstein condensates
Physical Review A, 70, 033605 (2004).
L.C. Crasovan, V.M. Pérez-García, I. Danaila, D. Mihalache, L. Torner -
A Numerical Scheme for the Simulation of Blow-up in the Nonlinear Schrödinger Equation
Applied Mathematics and Computation, 134, 271-291 (2003).
S. Jiménez, I.M. Llorente, A. Mancho, V.M. Pérez-García, L. Vázquez -
A Quasilocal Gross-Pitaevskii Equation for Bose-Einstein Condensates with Self-Attraction
Mathematics and Computers in Simulation, 62, 21-30 (2003).
J.J. García-Ripoll, V.V. Konotop, B. Malomed, V.M. Pérez-García -
Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates
Discrete and Continuous Dynamical Systems B, 3, 179-192 (2003).
V. Vekslerchik, V.M. Pérez-García -
Numerical Methods for the Simulation of trapped Nonlinear Schrödinger Systems
Applied Mathematics and Computation, 144, 215-235 (2003)
V.M. Pérez-García, X. Liu -
Scattering of dipole-mode vector solitons: Theory and experiment
Physical Review E, 68, 016612 (2003).
W. Krolikowski, G. McCarthy, Y.S. Kivshar, C. Weilnau, C. Denz, J.J. García-Ripoll, V.M. Pérez-García -
Soliton molecules in trapped vector Nonlinear Schrödinger systems
Physical Review E , 67, 061804 (2003).
V.M. Pérez García, V. Vekslerchik -
Soliton molecules: Robust clusters of spatiotemporal optical solitons
Physical Review E, 67, 046610 (2003).
L.C. Crasovan, Y. Kartashov, D. Mihalache, Ll. Torner, Y.S. Kivshar, V.M. Pérez-García -
Stable vortex dipoles in Nonrotating Bose-Einstein condensates
Physical Review A, 68, 063609 (2003).
L.C. Crasovan, V. Vekslerchik, V.M. Pérez-García, J.P. Torres, D. Mihalache, Ll. Torner -
Globally-Linked Vortex Clusters in Trapped Wave Fields
Physical Review A, 66, 036612 (2002).
L.C. Crasovan, G.Molina-Terriza, J.P. Torres, Ll. Torner, V.M. Pérez-García, D. Mihalache -
On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates
Physics Letters A, 300, 348-352 (2002).
V.V. Konotop, V.M. Pérez-García -
Split vortices in optically coupled Bose-Einstein condensates
Physical Review A, 66, 021602(R) (2002).
J.J. García-Ripoll, V.M. Pérez-García, F. Sols -
Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps
Physical Review A, 64, 013602 (2001).
J.J. García-Ripoll, V.M. Pérez-García -
Construction of exact solutions by spatial traslations in inhomogeneous nonlinear Schrödinger equations
Physical Review E 64, 056602 (2001).
J.J. García-Ripoll, V.M. Pérez-García, V. Vekslerchik -
Multipole spatial vector solitons
Optics Letters, 26, 435-437 (2001).
A.S. Desyatnikov, D.Neshev, E.A. Ostrovskaya, Y.S. Kivshar, W. Krolikowski, B. Luther-Davies, J.J. García-Ripoll, V.M. Pérez-García -
Optimizing Schrödinger functionals using Sobolev gradients: Applications to Quantum Mechanics nonlinear Optics
SIAM Journal on Scientific Computing, 23, 1315-1333 (2001).
J.J. García-Ripoll, V.M. Pérez-García -
Structural instabilities of vortices in Bose-Einstein condensates
Physical Review Letters, 87, 140403 (2001).
J.J. García-Ripoll, G. Molina-Terriza, V.M. Pérez-García, L. Torner -
Vortex bending and tightly packed vortex lattices in Bose-Einstein condensates
Physical Review A, 64, 053611 (2001).
J.J. García-Ripoll, V.M. Pérez García -
Vortex nucleation and hysteresis phemena in rotating Bose-Einstein condensates
Physical Review A, 63, 041603 (2001).
J.J. García-Ripoll, V.M. Pérez-García -
Vortex revivals with trapped light
Optics Letters, 26, 1601-1603 (2001).
G. Molina-Terriza, Ll. Torner, E. Wrigth, J.J. García-Ripoll, V.M. Pérez-García -
Dipole-mode vector solitons
Physical Review Letters, 85, 82-85 (2000).
J.J. García-Ripoll, V.M. Pérez-García, E. Ostrovskaya, Y. Kivshar -
Dynamics of quasi-collapse in nonlinear Schrödinger systems with nonlocal interactions
Physical Review E, 62, 4300-4308 (2000).
V.M. Pérez-García, V.V. Konotop, J.J. García-Ripoll -
Light molecules: Dipole-Mode Vector Solitons
Optics & Photonics News, Diciembre 2000, 36-37 (2000).
W. Krolikowski, B. Luther-Davies, G. McCarthy, M. Geisser, Y. Kivshar, E.Ostrovskaya, C. Weilnau, C. Denz, J. J. Garcia-Ripoll, V. M. Pérez-García -
Moment analysis of paraxial propagation in a Nonlinear graded index fiber
Journal of Optics B: Quantum Semiclassical Optics, 2, 353-358 (2000).
V.M. Pérez-García, P. Torres, H. Michinel, J.J.García-Ripoll -
Solutions of Gross-Pitaevskii equations beyond the hydrodynamic approximation: Application to the vortex problem
Physical Review A, 62, 033610 (2000).
V.V. Konotop, V.M. Pérez García -
Spin mopoles with Bose-Einstein condensates
Physical Review A, 61, 053609-053615 (2000).
J.J. García-Ripoll, J.I. Cirac, J. Anglin, V.M. Pérez-García, P. Zoller -
Stable and unstable vortices in multicomponent Bose-Einstein condensates
Physical Review Letters, 84, 4264-4267 (2000).
J.J. García-Ripoll, V.M. Pérez-García -
Two-mode theory of vortex stability in multicomponent Bose-Einstein condensates
Physical Review A, 62, 033601 (2000).
V.M. Pérez-García, J.J. García-Ripoll -
Atomic soliton reservoir: How to increase the critical atom number in negative-scattering-length Bose-Einstein gases
Physical Review A, 60, 1513-1519 (1999).
H. Michinel, V.M. Pérez-García, R. de la Fuente -
Barrier resonances in Bose-Einstein condensation
Physical Review A, 59, 2220-2229 (1999).
J.J. García-Ripoll, V.M. Pérez-García -
Extended parametric resonances in nonlinear Schrödinger systems
Physical Review Letters, 83, 1715-1718 (1999).
J.J. García-Ripoll, V.M. Pérez-García, P. Torres -
Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis
Physical Review A, 60, 4864-4872 (1999).
J.J. García-Ripoll, V.M. Pérez-García -
Bose-Einstein solitons in highly asymmetric traps
Physical Review A, 57, 3837-3842 (1998).
V.M. Pérez-García, H. Michinel, H. Herrero -
Dynamics of Bose-Einstein condensates: Variational Solutions of the Gross-Pitaevskii equations
Physical Review A, 56, 1424-1432 (1997).
V.M. Pérez-García, H. Michinel, I. Cirac, M. Lewenstein, P. Zoller -
Interaction of a dark soliton with a localized impurity
Physics Letters A, 236, 314-318 (1997).
V.V. Konotop, V.M. Pérez-García, Y.F. Tang, L. Vázquez -
Loss-induced transverse effects in lasers
Optics Communications, 143, 315-321 (1997).
O. G. Calderón, V. M. Pérez-García, J. Lega, J. M. Guerra -
Stability and collective excitations of a two-component Bose-Einstein condensed gas: A moment approach
Physical Review A, 56, 2978-2983 (1997).
T. Busch, J.I. Cirac, V.M. Pérez-García, P. Zoller -
Symplectic Methods for the Ablowitz-Ladik model
Applied Mathematics Computation, 82, 17-38 (1997).
Y.F. Tang, V.M. Pérez-García, L. Vázquez -
Different and coexisting routes to chaos along a common bifurcation path in the Maxwell-Bloch equations
International Journal of Bifurcations and Chaos, 6, 589-601 (1996).
I. Pastor, V.M. Pérez-García, F. Encinas, J.M. Guerra -
Low energy excitations of a Bose-Einstein Condensate: A time-dependent variational analysis
Physical Review Letters, 77, 5320-5324 (1996).
V.M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, P. Zoller -
Nonlinear Optics, Multigrid Methods Parallel Computing: A case study
SIAM News, April, 12-14 (1996).
I. Martín, V.M. Pérez García, F. Tirado, L. Vázquez -
Numerical solutions of the Maxwell-Bloch laser equations
Journal of Computational Physics, 129, 181-189 (1996).
G. Ben-Yu, I. Martín, V.M. Pérez-García, L. Vázquez -
Symplectic Methods for the Nonlinear Schrödinger Equation
Computers and Mathematics with Applications, 32, 73-83 (1996).
Y.F. Tang, L. Vázquez, F. Zang, V.M. Pérez-García -
Transverse mode selection in single-longitudinal mode lasers
Physical Review A, 53, 3490-3496 (1996).
O. Gómez-Calderón, V.M. Pérez-García, I. Martín, J.M. Guerra -
Nonlinear Klein-Gordon Schrödinger Systems: Theory and Applications
World Scientific, Singapore (1995).
L. Vázquez, L. Streit, V.M. Pérez-García (Eds.) -
Numerical Simulation of Nonlinear Schrödinger Systems: A New Conservative Scheme
Applied Mathematics Computation, 71, 164-177 (1995).
Z. Fei, V.M. Pérez-García, L. Vázquez -
Order-disorder transitions in a dye laser dynamics
Physical Review A, 52, 2392-2400 (1995).
V.M. Pérez-García, I. Pastor, J.M. Guerra -
The Nonlinear Schrödinger equation with dissipation and the moment method
Physics Letters A, 202, 176-182 (1995).
V.M. Pérez-García, M.A. Porras, L. Vázquez -
Weak turbulence in a high Fresnel number dye laser
International Journal of Bifurcations and Chaos, 4, 1363-1368 (1994).
V.M. Pérez-García, J.M. Guerra -
Weak turbulent behavior and dynamical frequency locking in a high Fresnel number laser
Physical Review A, 50, 1646-1663 (1994).
V.M. Pérez-García, J.M. Guerra -
Chiral vs. Symmetric States in Optical Isomers
Nuovo Cimento D, 15, 621-629 (1993).
V.M. Pérez-García, I. Gonzalo, J.L. Pérez Díaz -
Nonlinear plane wave solutions to the semiclassic Maxwell-Bloch laser equations
Physica D, 66, 412-426 (1993).
I. Pastor, V.M. Pérez-García, F. Encinas, J.M. Guerra, L. Vázquez -
Ordered and chaotic behaviour of two coupled Van der Pol oscillators
Physical Review E, 48, 171-182 (1993).
I. Pastor, V.M. Pérez-García, F. Encinas, J.M. Guerra -
On the integrability of the classical hydrogen atom in a magnetic field
European Journal of Physics, 13, 160-166 (1992).
V.M. Pérez-García, J.I. Martín, A.F. Rañada -
Theory of the stability of the quantum chiral state
Physics Letters A, 167, 377-382 (1992).
V.M. Pérez-García, I. Gonzalo, J.L. Pérez Díaz -
Chirality and electronic state: A new explanation of the stability of chiral molecules
Physics Letters A, 160, 453-456 (1991).
J.L. Pérez Díaz, V.M. Pérez-García, I. Gonzalo
- Establishing a non-invasive approach to accurately diagnose and assess brain tumors
Canadian Cancer Society (2024 - 2027) - Improving New Therapies in Oncology and Related Fields using mathematical models and biomedical data
Ministry of Science and Innovation (National Research Plan) (2023 - 2026) - Mathematical models for the digital transition in neuro-oncology: In-silico design of a clinical trial for glioblastoma.
Ministerio de Ciencia e Innovación (NextGenerationEU) (2023 - 2024) - Optimization of tisagenlecleucel treatments of lymphoma: An integrated human data-based approach using mathematical models
NOVARTIS (2023 - 2025) - Validation and transfer of oncological data and biomarkers based on mathematical models (AFTERbioMATH)
Ministry of Science and Innovation (Spain), Proof of Concept Program (2023 - 2024) - Early identification of relapse and treatment optimization in acute lymphoblastic leukaemias through mathematical modelling and discriminant analysis
Junta de Andalucía (2020 - 2023) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023)
“Graduate (1991) PhD (Complutense U., Madrid, 1995). Associate professor (1997) and full professor (2002) in Applied Mathematics at the Mathematics Department of the University of Castilla-La Mancha. He has published more than 170 research papers with more than 11000 Google citations and has an H-index of 52. He is editor in chief of the journal “Physica D: “Nonlinear Phenomena” and serves in the editorial board of “npj Systems Biology and Applications”. He is the coordinator of the Applied Mathematics panel at the Spanish National Research Agency and has been a member of the Marie Curie evaluation committee and of many international project evaluation boards in oncology and/or applied mathematics in France, UK, Poland, Austria, Romania, Cyprus, Latvia, Spain, etc. His main field of research is the application of mathematical modeling to oncology and more specifically to brain tumors, metastasis, cellular immunotherapies, biomarkers, medical images, lymphomas, leukaemias, prostate cancer, etc. In this field he has led several projects funded by public institutions, private foundations such as the James S. Mc. Donnell Foundation and pharmaceutical companies such as NOVARTIS. More specifically he is interested in the development and validation of mechanistic mathematical models that shed light on oncological processes and may be used as platforms to personalize treatments and develop in-silico trials. Also he is interested in the development of mathematical model-based biomarkers of response to treatments.” |
- Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
Physica D 238, 1462-1467 (2009).
V. Prytula, V. Vekslerchik, V.M. Perez-Garcia - Dissipation-induced coherent structures in Bose-Einstein condensates
Phys. Rev. Lett. 102, 144101 (2009) .
V.A. Brazhnyi, V.V. Konotop, V.M. Perez-Garcia, H. Ott - Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media
Chaos, Solitons and Fractals, 41, 1791-1798 (2009)
G.F. Calvo, J. Belmonte-Beitia, V.M. Perez-Garcia - Liquidlike dynamics of optical beams in tailored coherent media
Physical Review A 79, 013833 (2009)
A. Alexandrescu, H. Michinel, V.M. Pérez-García - Localization phenomena in Nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates
Physica D 238, 1352-1361 (2009)
V.M. Perez-Garcia, R. Pardo - Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
Chaos, Solitons and Fractals 41, 1158–1166 (2009)
J. Belmonte-Beitia, V.V. Konotop, V.M. Perez Garcia, V.E. Vekslerchik - Mapped Chebyshev pseudospectral method to study multiple scale phenomena
Computers Physics Communications 180, 912–919 (2009)
A. Alexandrescu, A. Bueno-Orovio, J.R. Salgueiro, V.M. Perez-Garcia - Nonlinear phenomena in degenerate quantum gases
Physica D 238, 1289-1298 (2009).
V.M. Perez-Garcia, N.G. Berloff, P.G. Kevrekidis, V.V. Konotop, B.A. Malomed - Nonperturbative vector solitary waves in four-level coherent media
Physical Review A 79, 063843 (2009)
A. Alexandrescu, J.R. Salgueiro, V.M. Pérez-García, H. Michinel - Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Journal of Nonlinear Science, 19, 437-451 (2009).
J. Belmonte-Beitia, V.M. Perez-Garcia, P.J. Torres - Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
Physical Review E, 78, 027601 (2008).
V. Prytula, V. Vekslerchik, V.M. Pérez-García - Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
Discrete and Continuous Dynamical Systems B, 9, 221-233 (2008)
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, P. Torres - Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Physical Review Letters 100, 164102 (2008).
J. Belmonte-Beitia, V.M. Pérez-García, V. Vekslerchik, V.V. Konotop - Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
Physical Review A, 78, 013606 (2008).
D.A. Zezyulin, G.L. Alfimov, V.V. Konotop, V.M. Perez-Garcia - Supersolitons: Solitonic excitations in atomic soliton chains
Physical Review Letters 101, 144101 (2008).
D. Novoa, B.A. Malomed, H. Michinel, V.M. Perez-Garcia - Collapse in boson-fermion mixtures with all-repulsive interactions
Physical Review A 76, 043620 (2007).
V.I. Prytula, V.V. Konotop, V.M. Pérez-García, V.E. Vekslerchik - Control of nonlinear modes by scattering-length management in Bose-Einstein condensates
Physical Review A 76, 013621 (2007).
D.A. Zezyulin, G.L. Alfimov, V.V. Konotop, V.M. Pérez-García - Enhanced box and prism assisted algorithms for computing the correlation dimension
Chaos, Solitons and Fractals, 34, 509-518 (2007).
A. Bueno-Orovio, V.M. Pérez-García - Levitation of spinor Bose-Einstein condensates: Macroscopic manifestation of the Franck-Condon effect
Europhysics Letters 80, 50005 (2007).
K. Nakamura, A. Kohi, H. Yamasaki, V. M. Pérez-García, V. V. Konotop - Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Physical Review Letters 98, 064102 (2007).
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. Torres - Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
Chaos, Solitons and Fractals, 32, 1268-1277 (2007).
J. Belmonte, V.M. Pérez-García, V. Vekslerchik - Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation
Physical Review E 75, 046609 (2007) .
A. Alexandrescu, G.D. Montesinos, V.M. Pérez-García - Symmetry-assisted vorticity control in Bose-Einstein condensates
Physical Review A 75, 033618 (2007).
V.M. Perez-Garcia, M.A. Garcia-March, A. Ferrando - The method of moments for Nonlinear Schrodinger Equations: Theory and Applications
SIAM Journal on Applied Mathematics 67, 990-1015 (2007).
V.M. Pérez-García, G.D. Montesinos, P. Torres - Analysis of an atom laser based on the spatial control of the scattering length
Physical Review A, 74, 013619 (2006).
A. Vázquez-Carpentier, H. Michinel, M.I. Rodas-Verde, V.M. Pérez-García - Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
Physical Review A, 74, 023614 (2006).
V.A. Brazhnyi, V.V. Konotop, V.M. Pérez-García - Dissipative solitons that cannot be trapped
Physical Review Letters 97, 254101 (2006).
R. Pardo, V.M. Pérez-García - Driving defect modes of Bose-Einstein condensates in optical lattices
Physical Review Letters 96, 060403 (2006).
V.A. Brazhnyi, V.V. Konotop, V.M. Pérez-García - Matter-wave solitons supported by dissipation
Physical Review A 73, 053610 (2006).
A. Alexandrescu, V.M. Pérez-García - Similarity transformations of Nonlinear Schrodinger Equations with time-dependent coefficients
Physica D 221, 31-36 (2006).
V.M. Pérez-García, P. Torres, V.V. Konotop - Spectral methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
SIAM Journal on Scientific Computing, 28, 886-900 (2006).
A. Bueno Orovio, V.M. Pérez García, F.H. Fenton - Spectral Smoothed Boundary Methods: The role of external boundary conditions
Numerical Methods for Partial Differential Equations 22, 435-448 (2006).
A. Bueno Orovio, V.M. Pérez-García - Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion
Journal of the Optical Society of America B 23, 56-61 (2006).
M.I. Rodas-Verde, G.D. Montesinos, H. Michinel, V.M. Pérez-García - Turning light into a liquid via atomic coherence
Physical Review Letters 96, 023903 (2006).
H, Michinel, M.J. Paz Alonso, V.M. Pérez-García - Controllable soliton emission from a Bose-Einstein condensate
Physical Review Letters, 95, 153903 (2005)
M.I. Rodas-Verde, H. Michinel, V.M. Pérez-García - N-body dynamics of stabilized vector solitons
Chaos, 15, 033501 (2005).
G.D. Montesinos, M.I. Rodas-Verde, V.M. Pérez-García, H. Michinel - Numerical studies of stabilized Townes solitons
Mathematics and Computers in Simulation, 69, 447-456 (2005).
G.D. Montesinos, V.M. Pérez-García - Stabilized vortex solitons in layered Kerr media
Physical Review E, 71, 036624 (2005).
G.D. Montesinos, V.M. Pérez-García, H. Michinel, J.R. Salgueiro - Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V.M. Pérez-García, J. Belmonte - Feshbach resonance induced shock waves in Bose-Einstein condensates
Physical Review Letters, 92 , 220403 (2004).
V.M. Pérez-García, V.V. Konotop, V.A. Brazhnyi - Solitones estabilizados
Revista Española de Física, Julio-Septiembre, 57-60 (2004).
G.D. Montesinos, V.M. Pérez-García - Stabilization of solitons of the multidimensional Nonlinear Schrodinger equation: Matter-wave breathers
Physica D, 191, 193-210 (2004).
G.D. Montesinos, V.M. Pérez García, P. Torres - Stabilized two-dimensional vector solitons
Physical Review Letters, 92, 133901 (2004).
G.D. Montesinos, V.M. Pérez-García, H. Michinel - Three-dimensional parallel vortex rings in Bose-Einstein condensates
Physical Review A, 70, 033605 (2004).
L.C. Crasovan, V.M. Pérez-García, I. Danaila, D. Mihalache, L. Torner - A Numerical Scheme for the Simulation of Blow-up in the Nonlinear Schrödinger Equation
Applied Mathematics and Computation, 134, 271-291 (2003).
S. Jiménez, I.M. Llorente, A. Mancho, V.M. Pérez-García, L. Vázquez - A Quasilocal Gross-Pitaevskii Equation for Bose-Einstein Condensates with Self-Attraction
Mathematics and Computers in Simulation, 62, 21-30 (2003).
J.J. García-Ripoll, V.V. Konotop, B. Malomed, V.M. Pérez-García - Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates
Discrete and Continuous Dynamical Systems B, 3, 179-192 (2003).
V. Vekslerchik, V.M. Pérez-García - Numerical Methods for the Simulation of trapped Nonlinear Schrödinger Systems
Applied Mathematics and Computation, 144, 215-235 (2003)
V.M. Pérez-García, X. Liu - Scattering of dipole-mode vector solitons: Theory and experiment
Physical Review E, 68, 016612 (2003).
W. Krolikowski, G. McCarthy, Y.S. Kivshar, C. Weilnau, C. Denz, J.J. García-Ripoll, V.M. Pérez-García - Soliton molecules in trapped vector Nonlinear Schrödinger systems
Physical Review E , 67, 061804 (2003).
V.M. Pérez García, V. Vekslerchik - Soliton molecules: Robust clusters of spatiotemporal optical solitons
Physical Review E, 67, 046610 (2003).
L.C. Crasovan, Y. Kartashov, D. Mihalache, Ll. Torner, Y.S. Kivshar, V.M. Pérez-García - Stable vortex dipoles in Nonrotating Bose-Einstein condensates
Physical Review A, 68, 063609 (2003).
L.C. Crasovan, V. Vekslerchik, V.M. Pérez-García, J.P. Torres, D. Mihalache, Ll. Torner - Globally-Linked Vortex Clusters in Trapped Wave Fields
Physical Review A, 66, 036612 (2002).
L.C. Crasovan, G.Molina-Terriza, J.P. Torres, Ll. Torner, V.M. Pérez-García, D. Mihalache - On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates
Physics Letters A, 300, 348-352 (2002).
V.V. Konotop, V.M. Pérez-García - Split vortices in optically coupled Bose-Einstein condensates
Physical Review A, 66, 021602(R) (2002).
J.J. García-Ripoll, V.M. Pérez-García, F. Sols - Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps
Physical Review A, 64, 013602 (2001).
J.J. García-Ripoll, V.M. Pérez-García - Construction of exact solutions by spatial traslations in inhomogeneous nonlinear Schrödinger equations
Physical Review E 64, 056602 (2001).
J.J. García-Ripoll, V.M. Pérez-García, V. Vekslerchik - Multipole spatial vector solitons
Optics Letters, 26, 435-437 (2001).
A.S. Desyatnikov, D.Neshev, E.A. Ostrovskaya, Y.S. Kivshar, W. Krolikowski, B. Luther-Davies, J.J. García-Ripoll, V.M. Pérez-García - Optimizing Schrödinger functionals using Sobolev gradients: Applications to Quantum Mechanics nonlinear Optics
SIAM Journal on Scientific Computing, 23, 1315-1333 (2001).
J.J. García-Ripoll, V.M. Pérez-García - Structural instabilities of vortices in Bose-Einstein condensates
Physical Review Letters, 87, 140403 (2001).
J.J. García-Ripoll, G. Molina-Terriza, V.M. Pérez-García, L. Torner - Vortex bending and tightly packed vortex lattices in Bose-Einstein condensates
Physical Review A, 64, 053611 (2001).
J.J. García-Ripoll, V.M. Pérez García - Vortex nucleation and hysteresis phemena in rotating Bose-Einstein condensates
Physical Review A, 63, 041603 (2001).
J.J. García-Ripoll, V.M. Pérez-García - Vortex revivals with trapped light
Optics Letters, 26, 1601-1603 (2001).
G. Molina-Terriza, Ll. Torner, E. Wrigth, J.J. García-Ripoll, V.M. Pérez-García - Dipole-mode vector solitons
Physical Review Letters, 85, 82-85 (2000).
J.J. García-Ripoll, V.M. Pérez-García, E. Ostrovskaya, Y. Kivshar - Dynamics of quasi-collapse in nonlinear Schrödinger systems with nonlocal interactions
Physical Review E, 62, 4300-4308 (2000).
V.M. Pérez-García, V.V. Konotop, J.J. García-Ripoll - Light molecules: Dipole-Mode Vector Solitons
Optics & Photonics News, Diciembre 2000, 36-37 (2000).
W. Krolikowski, B. Luther-Davies, G. McCarthy, M. Geisser, Y. Kivshar, E.Ostrovskaya, C. Weilnau, C. Denz, J. J. Garcia-Ripoll, V. M. Pérez-García - Moment analysis of paraxial propagation in a Nonlinear graded index fiber
Journal of Optics B: Quantum Semiclassical Optics, 2, 353-358 (2000).
V.M. Pérez-García, P. Torres, H. Michinel, J.J.García-Ripoll - Solutions of Gross-Pitaevskii equations beyond the hydrodynamic approximation: Application to the vortex problem
Physical Review A, 62, 033610 (2000).
V.V. Konotop, V.M. Pérez García - Spin mopoles with Bose-Einstein condensates
Physical Review A, 61, 053609-053615 (2000).
J.J. García-Ripoll, J.I. Cirac, J. Anglin, V.M. Pérez-García, P. Zoller - Stable and unstable vortices in multicomponent Bose-Einstein condensates
Physical Review Letters, 84, 4264-4267 (2000).
J.J. García-Ripoll, V.M. Pérez-García - Two-mode theory of vortex stability in multicomponent Bose-Einstein condensates
Physical Review A, 62, 033601 (2000).
V.M. Pérez-García, J.J. García-Ripoll - Atomic soliton reservoir: How to increase the critical atom number in negative-scattering-length Bose-Einstein gases
Physical Review A, 60, 1513-1519 (1999).
H. Michinel, V.M. Pérez-García, R. de la Fuente - Barrier resonances in Bose-Einstein condensation
Physical Review A, 59, 2220-2229 (1999).
J.J. García-Ripoll, V.M. Pérez-García - Extended parametric resonances in nonlinear Schrödinger systems
Physical Review Letters, 83, 1715-1718 (1999).
J.J. García-Ripoll, V.M. Pérez-García, P. Torres - Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis
Physical Review A, 60, 4864-4872 (1999).
J.J. García-Ripoll, V.M. Pérez-García - Bose-Einstein solitons in highly asymmetric traps
Physical Review A, 57, 3837-3842 (1998).
V.M. Pérez-García, H. Michinel, H. Herrero - Dynamics of Bose-Einstein condensates: Variational Solutions of the Gross-Pitaevskii equations
Physical Review A, 56, 1424-1432 (1997).
V.M. Pérez-García, H. Michinel, I. Cirac, M. Lewenstein, P. Zoller - Interaction of a dark soliton with a localized impurity
Physics Letters A, 236, 314-318 (1997).
V.V. Konotop, V.M. Pérez-García, Y.F. Tang, L. Vázquez - Loss-induced transverse effects in lasers
Optics Communications, 143, 315-321 (1997).
O. G. Calderón, V. M. Pérez-García, J. Lega, J. M. Guerra - Stability and collective excitations of a two-component Bose-Einstein condensed gas: A moment approach
Physical Review A, 56, 2978-2983 (1997).
T. Busch, J.I. Cirac, V.M. Pérez-García, P. Zoller - Symplectic Methods for the Ablowitz-Ladik model
Applied Mathematics Computation, 82, 17-38 (1997).
Y.F. Tang, V.M. Pérez-García, L. Vázquez - Different and coexisting routes to chaos along a common bifurcation path in the Maxwell-Bloch equations
International Journal of Bifurcations and Chaos, 6, 589-601 (1996).
I. Pastor, V.M. Pérez-García, F. Encinas, J.M. Guerra - Low energy excitations of a Bose-Einstein Condensate: A time-dependent variational analysis
Physical Review Letters, 77, 5320-5324 (1996).
V.M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, P. Zoller - Nonlinear Optics, Multigrid Methods Parallel Computing: A case study
SIAM News, April, 12-14 (1996).
I. Martín, V.M. Pérez García, F. Tirado, L. Vázquez - Numerical solutions of the Maxwell-Bloch laser equations
Journal of Computational Physics, 129, 181-189 (1996).
G. Ben-Yu, I. Martín, V.M. Pérez-García, L. Vázquez - Symplectic Methods for the Nonlinear Schrödinger Equation
Computers and Mathematics with Applications, 32, 73-83 (1996).
Y.F. Tang, L. Vázquez, F. Zang, V.M. Pérez-García - Transverse mode selection in single-longitudinal mode lasers
Physical Review A, 53, 3490-3496 (1996).
O. Gómez-Calderón, V.M. Pérez-García, I. Martín, J.M. Guerra - Nonlinear Klein-Gordon Schrödinger Systems: Theory and Applications
World Scientific, Singapore (1995).
L. Vázquez, L. Streit, V.M. Pérez-García (Eds.) - Numerical Simulation of Nonlinear Schrödinger Systems: A New Conservative Scheme
Applied Mathematics Computation, 71, 164-177 (1995).
Z. Fei, V.M. Pérez-García, L. Vázquez - Order-disorder transitions in a dye laser dynamics
Physical Review A, 52, 2392-2400 (1995).
V.M. Pérez-García, I. Pastor, J.M. Guerra - The Nonlinear Schrödinger equation with dissipation and the moment method
Physics Letters A, 202, 176-182 (1995).
V.M. Pérez-García, M.A. Porras, L. Vázquez - Weak turbulence in a high Fresnel number dye laser
International Journal of Bifurcations and Chaos, 4, 1363-1368 (1994).
V.M. Pérez-García, J.M. Guerra - Weak turbulent behavior and dynamical frequency locking in a high Fresnel number laser
Physical Review A, 50, 1646-1663 (1994).
V.M. Pérez-García, J.M. Guerra - Chiral vs. Symmetric States in Optical Isomers
Nuovo Cimento D, 15, 621-629 (1993).
V.M. Pérez-García, I. Gonzalo, J.L. Pérez Díaz - Nonlinear plane wave solutions to the semiclassic Maxwell-Bloch laser equations
Physica D, 66, 412-426 (1993).
I. Pastor, V.M. Pérez-García, F. Encinas, J.M. Guerra, L. Vázquez - Ordered and chaotic behaviour of two coupled Van der Pol oscillators
Physical Review E, 48, 171-182 (1993).
I. Pastor, V.M. Pérez-García, F. Encinas, J.M. Guerra - On the integrability of the classical hydrogen atom in a magnetic field
European Journal of Physics, 13, 160-166 (1992).
V.M. Pérez-García, J.I. Martín, A.F. Rañada - Theory of the stability of the quantum chiral state
Physics Letters A, 167, 377-382 (1992).
V.M. Pérez-García, I. Gonzalo, J.L. Pérez Díaz - Chirality and electronic state: A new explanation of the stability of chiral molecules
Physics Letters A, 160, 453-456 (1991).
J.L. Pérez Díaz, V.M. Pérez-García, I. Gonzalo
- Establishing a non-invasive approach to accurately diagnose and assess brain tumors
Canadian Cancer Society (2024 - 2027) - Improving New Therapies in Oncology and Related Fields using mathematical models and biomedical data
Ministry of Science and Innovation (National Research Plan) (2023 - 2026) - Mathematical models for the digital transition in neuro-oncology: In-silico design of a clinical trial for glioblastoma.
Ministerio de Ciencia e Innovación (NextGenerationEU) (2023 - 2024) - Optimization of tisagenlecleucel treatments of lymphoma: An integrated human data-based approach using mathematical models
NOVARTIS (2023 - 2025) - Validation and transfer of oncological data and biomarkers based on mathematical models (AFTERbioMATH)
Ministry of Science and Innovation (Spain), Proof of Concept Program (2023 - 2024) - Early identification of relapse and treatment optimization in acute lymphoblastic leukaemias through mathematical modelling and discriminant analysis
Junta de Andalucía (2020 - 2023) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023)