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arXiv · 0804.1785

Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients

Juan Belmonte Beitia·Victor M. Perez Garcia·Pedro J. Torres
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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.

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Juan Belmonte Beitia, Victor M. Perez Garcia, Pedro J. Torres. 2008-04-11. Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients. https://doi.org/10.1007/s00332-008-9037-7

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