Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (4): 1151-1161.doi: 10.1016/S0252-9602(17)30063-2

• Articles • Previous Articles     Next Articles

MÖBIUS-TODA HIERARCHY AND ITS INTEGRABILITY

Chuanzhong LI   

  1. Department of Mathematics, Ningbo University, Ningbo 315211, China
  • Received:2016-02-01 Revised:2016-09-24 Online:2017-08-25 Published:2017-08-25
  • About author:Chuanzhong LI,E-mail:lichuanzhong@nbu.edu.cn
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (11571192), the Natural Science Foundation of Ningbo (2015A610157) and K. C. Wong Magna Fund in Ningbo University.

Abstract:

In this paper, we construct a new integrable equation called Möbius-Toda 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 Möbius-Toda equation and a whole integrable Möbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the Möbius-Toda hierarchy are given and this leads to the existence of the tau function.

Key words: Möbius-Toda equation, soliton solutions, Lax equation, Möbius-Toda hierarchy, tau function

Trendmd