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arxiv: 1111.6874 · v1 · pith:YQ7H4KWSnew · submitted 2011-11-29 · 🌊 nlin.SI

Recursion operator of the Narita-Itoh-Bogoyavlensky lattice

classification 🌊 nlin.SI
keywords operatorrecursioninfinitelatticenarita-itoh-bogoyavlenskybi-hamiltonianconstructequations
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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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