Journal of Nonlinear Mathematical Physics

Volume 5, Issue 3, August 1998, Pages 230 - 233

On Integrability of a (2+1)-Dimensional Perturbed KdV Equation

Authors
S.Yu. Sakovich
Corresponding Author
S.Yu. Sakovich
Received 14 April 1998, Accepted 5 June 1998, Available Online 1 August 1998.
DOI
10.2991/jnmp.1998.5.3.1How to use a DOI?
Abstract

A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma and B. Fuchssteiner, is proven to pass the Painlevé test for integrability well, and its 4×4 Lax pair with two spectral parameters is found. The results show that the Painlevé classification of coupled KdV equations by A. Karasu should be revised.

Copyright
© 2006, 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/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 3
Pages
230 - 233
Publication Date
1998/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1998.5.3.1How to use a DOI?
Copyright
© 2006, 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  - S.Yu. Sakovich
PY  - 1998
DA  - 1998/08/01
TI  - On Integrability of a (2+1)-Dimensional Perturbed KdV Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 230
EP  - 233
VL  - 5
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.3.1
DO  - 10.2991/jnmp.1998.5.3.1
ID  - Sakovich1998
ER  -