English

Reciprocal link for a coupled Camassa-Holm type equation

Mathematical Physics 2016-04-20 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

A coupled Camassa-Holm type equation is linked to the first negative flow of a modified Drinfeld-Sokolov III hierarchy by a transformation of reciprocal type. Meanwhile the Lax pair and bi-Hamiltonian structure behaviors of this coupled Camassa-Holm type equation under change of variables are analyzed.

Keywords

Cite

@article{arxiv.1505.00961,
  title  = {Reciprocal link for a coupled Camassa-Holm type equation},
  author = {Nianhua Li and Jinshun Zhang and Lihua Wu},
  journal= {arXiv preprint arXiv:1505.00961},
  year   = {2016}
}