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arXiv · 0812.1196

Doubly periodic waves of a discrete nonlinear Schr\"odinger system with saturable nonlinearity

Robert Conte·Kwok-wing Chow
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Abstract

A system of two discrete nonlinear Schr\"odinger equations of the Ablowitz-Ladik type with a saturable nonlinearity is shown to admit a doubly periodic wave, whose long wave limit is also derived. As a by-product, several new solutions of the elliptic type are provided for NLS-type discrete and continuous systems.

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Robert Conte, Kwok-wing Chow. 2008-12-05. Doubly periodic waves of a discrete nonlinear Schr\"odinger system with saturable nonlinearity. https://doi.org/10.2991/jnmp.2008.15.4.4

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