Volume 21, Issue 3, June 2014, Pages 429 - 441
Integrability on generalized q-Toda equation and hierarchy
Authors
Anni Meng
Department of Mathematics, Ningbo University Ningbo, 315211, Zhejiang, P. R. China
Chuanzhong Li*, Shuo Huang
Department of Mathematics, Ningbo University Ningbo, 315211, Zhejiang, P. R. China
*Corresponding author: lichuanzhong@nbu.edu.cn.
Corresponding Author
Chuanzhong Li
Received 26 March 2014, Accepted 12 May 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.936761How to use a DOI?
- Keywords
- generalized q-Toda lattice; soliton solutions; Lax equation; generalized q-Toda hierarchy; tau function
- Abstract
In this paper, we construct a new integrable equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the generalized q-Toda equation and a whole integrable generalized q-Toda hierarchy are also constructed. To show the integrability, the Bi-Hamiltonian structure and tau symmetry of the generalized q-Toda hierarchy are given and this leads to the tau function.
- Copyright
- © 2014 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
TY - JOUR AU - Anni Meng AU - Chuanzhong Li AU - Shuo Huang PY - 2021 DA - 2021/01/06 TI - Integrability on generalized q-Toda equation and hierarchy JO - Journal of Nonlinear Mathematical Physics SP - 429 EP - 441 VL - 21 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.936761 DO - 10.1080/14029251.2014.936761 ID - Meng2021 ER -