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Recursion Operator of the Narita–Itoh–Bogoyavlensky Lattice
Author(s) -
Wang Jing Ping
Publication year - 2012
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2012.00556.x
Subject(s) - mathematics , homogeneous space , operator (biology) , lattice (music) , hamiltonian (control theory) , recursion (computer science) , mathematical physics , shift operator , pure mathematics , compact operator , physics , geometry , algorithm , computer science , mathematical optimization , biochemistry , chemistry , repressor , transcription factor , acoustics , gene , extension (predicate logic) , programming language
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 infinitely many local symmetries.