Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
arXiv:0804.1785 · doi:10.1007/s00332-008-9037-7
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 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.
16 pages
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