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arXiv · 1405.5401

Integrability on generalized $q$-Toda equation and hierarchy

Anni Meng·Chuanzhong Li·Shuo Huang
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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.

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Anni Meng, Chuanzhong Li, Shuo Huang. 2014-05-21. Integrability on generalized $q$-Toda equation and hierarchy. https://arxiv.org/abs/1405.5401

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