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Graduate in Mathematics (2001) and Physics (2007) at Universidad Complutense de Madrid. PhD in Mathematics (2008) at University of Castilla-La Mancha. His research interests are partial differential equations and their applications to Mathematical Biology |
Publications
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Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient
Applicable Analysis, 89, 9, 1335-1350, (2010)
J. Belmonte-Beitia, D. Pelinovsky -
Varias cuestiones sobre la ecuacion de Schrodinger no lineal con coeficientes dependientes del espacio
Boletin SEMA 52, 97-128 (2010)
J. Belmonte-Beitia -
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 -
Exact solutions for the quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Chaos, Solitons and Fractals 41, 1005-1009 (2009)
J. Belmonte-Beitia -
Exact solutions for the quintic nonlinear Schrodinger equation with time and space modulated nonlinearities and potentials
Physics Letters A 373, 448-453 (2009)
J. Belmonte-Beitia, G.F. Calvo. -
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 -
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 -
Solitons for the cubic–quintic nonlinear Schrodinger equation with time- and space-modulated coefficients
J. Phys. A: Math. Theor. 42, 165601 (2009)
J. Belmonte-Beitia, J. Cuevas -
Symmetric and asymmetric bound states for the nonlinear Schrödinger equation with inhomogeneous nonlinearity
J. Phys. A: Mathematical and Theoretical 42, 035208 (2009)
J. Belmonte-Beitia -
A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated
Electronic Journal of Differential Equations, 148, 1-6 (2008)
J. Belmonte Beitia -
Existence of dark soliton solutions of the cubic nonlinear Schrodinger equation with periodic inhomogeneous nonlinearity
Journal of Nonlinear Mathematical Physics 15, 65-72 (2008)
J. Belmonte-Beitia, P.J. Torres -
Laser tweezers for atomic solitons
Journal of Modern Optics, 55(17), 2819-2829, (2008).
A. V. Carpentier, J. Belmonte-Beitia, H. Michinel, M. I. Rodas-Verde -
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 -
On the existence of bright solitons in cubic-quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Mathematical Problems in Engineering, 935390 (2008)
J. Belmonte-Beitia -
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 -
Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V.M. Pérez-García, J. Belmonte
Projects
- 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) - 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) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023) - Modelos Matemáticos en Biología de Sistemas Complejos
Junta de Comunidades de Castilla La Mancha (2020 - 2022)
Belmonte Beitia, Juan
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Graduate in Mathematics (2001) and Physics (2007) at Universidad Complutense de Madrid. PhD in Mathematics (2008) at University of Castilla-La Mancha. His research interests are partial differential equations and their applications to Mathematical Biology |
Publications
- Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient
Applicable Analysis, 89, 9, 1335-1350, (2010)
J. Belmonte-Beitia, D. Pelinovsky - Varias cuestiones sobre la ecuacion de Schrodinger no lineal con coeficientes dependientes del espacio
Boletin SEMA 52, 97-128 (2010)
J. Belmonte-Beitia - 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 - Exact solutions for the quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Chaos, Solitons and Fractals 41, 1005-1009 (2009)
J. Belmonte-Beitia - Exact solutions for the quintic nonlinear Schrodinger equation with time and space modulated nonlinearities and potentials
Physics Letters A 373, 448-453 (2009)
J. Belmonte-Beitia, G.F. Calvo. - 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 - 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 - Solitons for the cubic–quintic nonlinear Schrodinger equation with time- and space-modulated coefficients
J. Phys. A: Math. Theor. 42, 165601 (2009)
J. Belmonte-Beitia, J. Cuevas - Symmetric and asymmetric bound states for the nonlinear Schrödinger equation with inhomogeneous nonlinearity
J. Phys. A: Mathematical and Theoretical 42, 035208 (2009)
J. Belmonte-Beitia - A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated
Electronic Journal of Differential Equations, 148, 1-6 (2008)
J. Belmonte Beitia - Existence of dark soliton solutions of the cubic nonlinear Schrodinger equation with periodic inhomogeneous nonlinearity
Journal of Nonlinear Mathematical Physics 15, 65-72 (2008)
J. Belmonte-Beitia, P.J. Torres - Laser tweezers for atomic solitons
Journal of Modern Optics, 55(17), 2819-2829, (2008).
A. V. Carpentier, J. Belmonte-Beitia, H. Michinel, M. I. Rodas-Verde - 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 - On the existence of bright solitons in cubic-quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Mathematical Problems in Engineering, 935390 (2008)
J. Belmonte-Beitia - 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 - Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V.M. Pérez-García, J. Belmonte
Projects
- 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) - 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) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023) - Modelos Matemáticos en Biología de Sistemas Complejos
Junta de Comunidades de Castilla La Mancha (2020 - 2022)
