Recursion operator of the Narita-Itoh-Bogoyavlensky lattice

Details Recursion operator of the Narita-Itoh-Bogoyavlensky lattice Recursion operator of the Narita-Itoh-Bogoyavlensky lattice

2011-11-29

arxiv.org/abs/1111.6874v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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