Recursion operator of the Narita-Itoh-Bogoyavlensky lattice
arXiv:1111.6874
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.