Journal of Nonlinear Mathematical Physics

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Volume 6, Issue 3, August 1999, Pages 255 - 262

Coupled KdV Equations of Hirota-Satsuma Type

Authors
S.Yu. Sakovich
Corresponding Author
S.Yu. Sakovich
Received 19 January 1999, Revised 24 April 1999, Accepted 26 May 1999, Available Online 2 August 1999.
DOI
10.2991/jnmp.1999.6.3.2How to use a DOI?
Abstract

It is shown that the system of two coupled Korteweg-de Vries equations passes the Painlevé test for integrability in nine distinct cases of its coefficients. The integrability of eight cases is verified by direct construction of Lax pairs, whereas for one case it remains unknown.

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/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
6 - 3
Pages
255 - 262
Publication Date
1999/08/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1999.6.3.2How 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

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TY  - JOUR
AU  - S.Yu. Sakovich
PY  - 1999
DA  - 1999/08/02
TI  - Coupled KdV Equations of Hirota-Satsuma Type
JO  - Journal of Nonlinear Mathematical Physics
SP  - 255
EP  - 262
VL  - 6
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1999.6.3.2
DO  - 10.2991/jnmp.1999.6.3.2
ID  - Sakovich1999
ER  -