Doubly periodic waves of a discrete nonlinear Schrödinger system with saturable nonlinearity
arXiv:0812.1196 · doi:10.2991/jnmp.2008.15.4.4
Abstract
A system of two discrete nonlinear Schrödinger 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.
12 pages, to appear, Journal of nonlinear mathematical physics
References in corpus (5)
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- Translationally invariant nonlinear Schrodinger lattices
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