Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-12-05
Nonlinear Sciences
Pattern Formation and Solitons
12 pages, to appear, Journal of nonlinear mathematical physics
Scientific paper
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.
Chow Kwok-wing
Conte Robert
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