The averaging of weakly nonlocal Symplectic Structures

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dc.creatorMaltsev, A. Ya.
dc.date2004-05-10
dc.date.accessioned2026-07-07T05:35:32Z
dc.date.available2026-07-07T05:35:32Z
dc.descriptionWe 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.
dc.description7 pages, Latex
dc.identifierhttps://arxiv.org/abs/nlin/0405018
dc.identifierhttp://arxiv.org/abs/nlin/0405018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80726
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe averaging of weakly nonlocal Symplectic Structures
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