Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations

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dc.creatorCao, Bintao
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:45:53Z
dc.date.available2026-07-07T12:45:53Z
dc.descriptionThe Jimbo-Miwa equation is the second equation in the well known KP hierarchy of integrable systems, which is used to describe certain interesting (3+1)-dimensional waves in physics but not pass any of the conventional integrability tests. The Konopelchenko-Dubrovsky equations arose in physics in connection with the nonlinear weaves with a weak dispersion. In this paper, we obtain two families of explicit exact solutions with multiple parameter functions for these equations by using Xu's stable-range method and our logarithmic generalization of the stable-range method. These parameter functions make our solutions more applicable to related practical models and boundary value problems.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0902.3308
dc.identifierhttp://arxiv.org/abs/0902.3308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221199
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.subject35Q51, 35C10, 35C15
dc.titleSolutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations
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