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- Title
Solitary Waves for Linearly Coupled Nonlinear Schrödinger Equations with Inhomogeneous Coefficients.
- Authors
Belmonte-Beitia, Juan; Pérez-Garc&;#x00ED;a, Víctor; Torres, Pedro J.
- Abstract
Motivated by the study of matter waves in Bose–Einstein condensates and coupled nonlinear optical systems, we study a system of two coupled nonlinear Schrödinger equations with inhomogeneous parameters, including a linear coupling. For that system, we prove the existence of two different kinds of homoclinic solutions to the origin describing solitary waves of physical relevance. We use a Krasnoselskii fixed point theorem together with a suitable compactness criterion.
- Subjects
NONLINEAR statistical models; NONLINEAR systems; SEMICONDUCTORS; NUCLEAR models; LINEAR statistical models; ELECTRONICS
- Publication
Journal of Nonlinear Science, 2009, Vol 19, Issue 4, p437
- ISSN
0938-8974
- Publication type
Article
- DOI
10.1007/s00332-008-9037-7