Doubly periodic waves of a discrete nonlinear Schr\"odinger system with saturable nonlinearity
Pattern Formation and Solitons
2015-05-13 v1
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.
Keywords
Cite
@article{arxiv.0812.1196,
title = {Doubly periodic waves of a discrete nonlinear Schr\"odinger system with saturable nonlinearity},
author = {Robert Conte and Kwok-wing Chow},
journal= {arXiv preprint arXiv:0812.1196},
year = {2015}
}
Comments
12 pages, to appear, Journal of nonlinear mathematical physics