Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients

Details Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients

2008-04-10

arxiv.org/abs/0804.1785v2

Mathematics

Dynamical Systems

16 pages

Scientific paper

10.1007/s00332-008-9037-7

Motivated by the study of matter waves in Bose-Einstein condensates and coupled nonlinear optical systems, we study a system of two coupled nonlinear Schrodinger 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.

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