Volterra's realization of the KM-system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:325

Article

Agrotis, M. A. ; Damianou, P. A.

关键词: KM-system;    recursion operator;    symplectic structure;   

DOI  :  10.1016/j.jmaa.2006.01.053

来源: Elsevier

【 摘 要 】

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. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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