Journal of Nonlinear Mathematical Physics

Volume 10, Issue Supplement 2, December 2003, Pages 238 - 245

An Integrable Coupled Toda Equation And Its Related Equation Via Hirota's Bilinear Approach

Authors
Jun-Xiao Zhao, Chun-Xia Li, Xing-Biao Hu
Corresponding Author
Jun-Xiao Zhao
Available Online 1 December 2003.
DOI
10.2991/jnmp.2003.10.s2.20How to use a DOI?
Abstract

A coupled Toda equation and its related equation are derived from 3-coupled bilinear equations. The corresponding Bäcklund transformation and nonlinear superposition formula are presented for the 3-coupled bilinear equations. As an application of the results, solition solutions are derived. Besides, starting from the bilinear BT, Lax pairs for these two differential-difference systems are obtained.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 2
Pages
238 - 245
Publication Date
2003/12/01
ISBN
91-974824-0-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s2.20How 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  - Jun-Xiao Zhao
AU  - Chun-Xia Li
AU  - Xing-Biao Hu
PY  - 2003
DA  - 2003/12/01
TI  - An Integrable Coupled Toda Equation And Its Related Equation Via Hirota's Bilinear Approach
JO  - Journal of Nonlinear Mathematical Physics
SP  - 238
EP  - 245
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.20
DO  - 10.2991/jnmp.2003.10.s2.20
ID  - Zhao2003
ER  -