Journal of Nonlinear Mathematical Physics

Volume 15, Issue 4, December 2008, Pages 398 - 409

Doubly periodic waves of a discrete nonlinear Schrodinger system with saturable nonlinearity

Authors
Robert Conte, K. W. Chow
Corresponding Author
Robert Conte
Received 30 September 2008, Accepted 4 December 2008, Available Online 19 December 2008.
DOI
10.2991/jnmp.2008.15.4.4How to use a DOI?
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.

Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 4
Pages
398 - 409
Publication Date
2008/12/19
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.4.4How to use a DOI?
Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Robert Conte
AU  - K. W. Chow
PY  - 2008
DA  - 2008/12/19
TI  - Doubly periodic waves of a discrete nonlinear Schrodinger system with saturable nonlinearity
JO  - Journal of Nonlinear Mathematical Physics
SP  - 398
EP  - 409
VL  - 15
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.4.4
DO  - 10.2991/jnmp.2008.15.4.4
ID  - Conte2008
ER  -