Journal of Nonlinear Mathematical Physics

Volume 5, Issue 2, May 1998, Pages 126 - 131

Bilinearization of Coupled Nonlinear Schrödinger Type Equations: Integrabilty and Solitons

Authors
K. Porsezian
Corresponding Author
K. Porsezian
Received 19 November 1997, Accepted 23 February 1998, Available Online 1 May 1998.
DOI
https://doi.org/10.2991/jnmp.1998.5.2.3How to use a DOI?
Abstract
Considering the coupled envelope equations in nonlinear couplers, the question of integrability is attempted. It is explicitly shown that Hirota's bilinear method is one of the simple and alternative techniques to Painlevé analysis to obtain the integrability conditions of the coupled nonlinear Schrödinger (CNLS) type equations. We also show that the coupled Hirota equation introduced by Tasgal and Potasek is the next hierarchy of the inverse scattering solvable CNLS equation. The results are in agreement with the known results.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 2
Pages
126 - 131
Publication Date
1998/05
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1998.5.2.3How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - K. Porsezian
PY  - 1998
DA  - 1998/05
TI  - Bilinearization of Coupled Nonlinear Schrödinger Type Equations: Integrabilty and Solitons
JO  - Journal of Nonlinear Mathematical Physics
SP  - 126
EP  - 131
VL  - 5
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.2.3
DO  - https://doi.org/10.2991/jnmp.1998.5.2.3
ID  - Porsezian1998
ER  -