Integrability on generalized $q$-Toda equation and hierarchy
Mathematical Physics
2014-05-22 v1 math.MP
Abstract
In this paper, we construct a new integrable equation which is a generalization of -Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the generalized -Toda equation and a whole integrable generalized -Toda hierarchy are also constructed. To show the integrability, the Bi-hamiltonian structure and tau symmetry of the generalized -Toda hierarchy are given and this leads to the tau function.
Cite
@article{arxiv.1405.5401,
title = {Integrability on generalized $q$-Toda equation and hierarchy},
author = {Anni Meng and Chuanzhong Li and Shuo Huang},
journal= {arXiv preprint arXiv:1405.5401},
year = {2014}
}
Comments
13 pages, to appear in Journal of Nonlinear Mathematical Physics, Vol. 21 nr.3 (2014)