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Doubly periodic waves of a discrete nonlinear Schr\'odinger system with saturable nonlinearity
- Source :
- J.~Nonlinear Math.~Phys.~{\bf 15} 398--409 (2008)
- Publication Year :
- 2008
-
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.<br />Comment: 12 pages, to appear, Journal of nonlinear mathematical physics
- Subjects :
- Nonlinear Sciences - Pattern Formation and Solitons
Subjects
Details
- Database :
- arXiv
- Journal :
- J.~Nonlinear Math.~Phys.~{\bf 15} 398--409 (2008)
- Publication Type :
- Report
- Accession number :
- edsarx.0812.1196
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.2991/jnmp.2008.15.4.4