Volterra's realization of the KM-system
AuthorAgrotis, Maria A.
Damianou, Pantelis A.
SourceJournal of Mathematical Analysis and Applications
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We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doubling the number of variables through Volterra's coordinate transformation. An application of Oevel's theorem yields master symmetries, invariants and deformation relations. © 2006 Elsevier Inc. All rights reserved.