Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations

Dirk Hennig

Journal of Applied Mathematics, 2017, vol. 2017, issue 1

Abstract: The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schrödinger equation (DNLS) on one‐dimensional lattices is proved. The DNLS features a general nonlinear term and variable range of interactions going beyond the usual nearest‐neighbour interaction. The problem of the existence of travelling wave solutions is converted into a fixed point problem for an operator on some appropriate function space which is solved by means of Schauder’s Fixed Point Theorem.

Date: 2017
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https://doi.org/10.1155/2017/3694103

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2017:y:2017:i:1:n:3694103

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