Spectral conservation laws for periodic nonlinear equations of the Melnikov type

Simple item page
dc.creatorGrinevich, P. G.
dc.creatorTaimanov, I. A.
dc.date2008-01-27
dc.date.accessioned2026-07-07T12:27:51Z
dc.date.available2026-07-07T12:27:51Z
dc.descriptionWe consider the nonlinear equations obtained from soliton equations by adding self-consistent sources. We demonstrate by using as an example the Kadomtsev-Petviashvili equation that such equations on periodic functions are not isospectral. They deform the spectral curve but preserve the multipliers of the Floquet functions. The latter property implies that the conservation laws, for soliton equations, which may be described in terms of the Floquet multipliers give rise to conservation laws for the corresponding equations with self-consistent sources. Such a property was first observed by us for some geometrical flow which appears in the conformal geometry of tori in three- and four-dimensional Euclidean spaces (math/0611215).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0801.4143
dc.identifierhttp://arxiv.org/abs/0801.4143
dc.identifierAmer. Math. Soc. Transl. Ser. 2, V. 224, 2008, 125-138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215348
dc.subjectMathematical Physics
dc.titleSpectral conservation laws for periodic nonlinear equations of the Melnikov type
dc.typetext

Files

Collections

arXiv