The averaging of nonlocal Hamiltonian structures in Whitham's method

Andrei Ya. Maltsev

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-36

Abstract:

We consider the m -phase Whitham's averaging method and propose the procedure of averaging nonlocal Hamiltonian structures. The procedure is based on the existence of a sufficient number of local-commuting integrals of the system and gives the Poisson bracket of Ferapontov type for Whitham's system. The method can be considered as the generalization of the Dubrovin-Novikov procedure for the local field-theoretical brackets.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:296321

DOI: 10.1155/S0161171202106120

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