English

Recursion operator of the Narita-Itoh-Bogoyavlensky lattice

Exactly Solvable and Integrable Systems 2011-11-30 v1

Abstract

We construct a recursion operator for the family of Narita-Itoh-Bogoyavlensky infinite lattice equations using its Lax presentation and present their mastersymmetries and bi-Hamiltonian structures. We show that this highly nonlocal recursion operator generates infinite many local symmetries.

Keywords

Cite

@article{arxiv.1111.6874,
  title  = {Recursion operator of the Narita-Itoh-Bogoyavlensky lattice},
  author = {Jing Ping Wang},
  journal= {arXiv preprint arXiv:1111.6874},
  year   = {2011}
}