Symmetric and asymmetric bound states for the nonlinear Schrödinger equation with inhomogeneous nonlinearity
J. Belmonte-Beitia
J. Phys. A: Mathematical and Theoretical 42, 035208 (2009)
MOLAB authors
Belmonte Beitia, Juan. 
Abstract
We introduce a model of a Bose–Einstein condensate based on the one-dimensional nonlinear Schrödinger equation, in which the nonlinear term depends on the domain. The nonlinear term changes a cubic term into a quintic term, according to the domain considered. We study the existence, stability and bifurcation of solutions, and use the qualitative theory of dynamical systems to study certain properties of such solutions.