Journal of Nonlinear Mathematical Physics

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Volume 8, Issue Supplement, February 2001, Pages 149 - 155

Some Recent Results on Integrable Bilinear Equations

Authors
Xing-Biao Hu, Hon-Wah Tam
Corresponding Author
Xing-Biao Hu
Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.s.26How to use a DOI?
Abstract

This paper shows that several integrable lattices can be transformed into coupled biliear differential-difference equations by introducing auxiliary variables. By testing the Bäcklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the Bäcklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka­Voltera equation and another equation.

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
8 - Supplement
Pages
149 - 155
Publication Date
2001/02/01
ISBN
91-631-0262-5
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.s.26How 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

risenwbib
TY  - JOUR
AU  - Xing-Biao Hu
AU  - Hon-Wah Tam
PY  - 2001
DA  - 2001/02/01
TI  - Some Recent Results on Integrable Bilinear Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 149
EP  - 155
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.26
DO  - 10.2991/jnmp.2001.8.s.26
ID  - Hu2001
ER  -