Nonlinear dispersion equations: smooth deformations, compactons, and extensions to higher orders

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dc.creatorGalaktionov, V. A.
dc.date2009-02-02
dc.date.accessioned2026-07-07T12:36:59Z
dc.date.available2026-07-07T12:36:59Z
dc.descriptionThird-order nonlinear dispersion equations (NDEs) are shown to admit both shock and rarefaction waves (as weak solutions), which are distinguished by a smooth deformation approach. Compacton-type travelling wave solutions are proved to be both delta-entropy and G-admissible (in the sense of I.M. Gel'fand, 1963). Extensions to some higher-order NDEs are performed.
dc.description39 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/0902.0275
dc.identifierhttp://arxiv.org/abs/0902.0275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218282
dc.subjectAnalysis of PDEs
dc.subject35K55, 35K65
dc.titleNonlinear dispersion equations: smooth deformations, compactons, and extensions to higher orders
dc.typetext

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