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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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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 -