Melnikov Analysis for Singularly Perturbed DSII Equation

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dc.creatorLi, Yanguang Charles
dc.date2002-06-25
dc.date.accessioned2026-07-07T04:49:22Z
dc.date.available2026-07-07T04:49:22Z
dc.descriptionRigorous Melnikov analysis is accomplished for Davey-Stewartson II equation under singular perturbation. Unstable fiber theorem and center-stable manifold theorem are established. The fact that the unperturbed homoclinic orbit, obtained via a Darboux transformation, is a classical solution, leads to the conclusion that only local well-posedness is necessary for a Melnikov measurement.
dc.identifierhttps://arxiv.org/abs/math/0206272
dc.identifierhttp://arxiv.org/abs/math/0206272
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64397
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject35Q55, 35Q30
dc.titleMelnikov Analysis for Singularly Perturbed DSII Equation
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