Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations

Dirk Hennig

Journal of Applied Mathematics, 2017, vol. 2017, 1-5

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:3694103

DOI: 10.1155/2017/3694103

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