The averaging of weakly nonlocal Symplectic Structures

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We consider the averaging of the weakly nonlocal Symplectic Structures corresponding to local evolution PDE's in the Whitham method. The averaging procedure gives the weakly nonlocal Symplectic Structure of Hydrodynamic Type for the corresponding Whitham system. The procedure gives also the "action variables" corresponding to the wave numbers of $m$-phase solutions of initial system which give the additional conservation laws for the Whitham system.
7 pages, Latex

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80726

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0405018
 http://arxiv.org/abs/nlin/0405018

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arXiv