Doubly periodic waves of a discrete nonlinear Schrodinger system with saturable nonlinearity
Robert ConteLRC MESO, cole normale suprieure de Cachan (CMLA) et CEA-DAM 61, avenue du Prsident Wilson, F-94235 Cachan Cedex, FranceK. W. ChowDepartment of Mechanical Engineering, The University of Hong Kong Pokfulam, Hong Kong
2008en
ABI
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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