Journal of Nonlinear Mathematical Physics

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Volume 18, Issue 4, December 2011, Pages 501 - 518

New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations

Authors
R. Sahadevan*, S. Balakrishnan†
Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai 600 005, Tamilnadu, India
Received 6 January 2011, Accepted 18 May 2011, Available Online 7 January 2021.
DOI
10.1142/S140292511100174XHow to use a DOI?
Keywords
Integrable equations; nonlinear partial differential-difference equations; soliton equations
Abstract

We report a new three and four coupled nonlinear partial differential-difference equations each admits Lax representation, possess infinitely many generalized (nonpoint) symmetries, conserved quantities and a recursion operator. Hence they are completely integrable both in the sense of Lax and Liouville.

Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
18 - 4
Pages
501 - 518
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S140292511100174XHow to use a DOI?
Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - R. Sahadevan
AU  - S. Balakrishnan
PY  - 2021
DA  - 2021/01/07
TI  - New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 501
EP  - 518
VL  - 18
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S140292511100174X
DO  - 10.1142/S140292511100174X
ID  - Sahadevan2021
ER  -