Symmetric and asymmetric bound states for the nonlinear Schrödinger equation with inhomogeneous nonlinearity
2009 - Juan Belmonte-Beitia
J. Phys. A: Mathematical and Theoretical 42, 035208 (2009)
Belmonte Beitia, Juan.
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.