Large Time Behavior of the Zero Dispersion Limit of the Fifth Order KdV Equation

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dc.creatorPierce, V. U.
dc.creatorTian, Fei-Ran
dc.date2006-08-30
dc.date.accessioned2026-07-07T07:25:30Z
dc.date.available2026-07-07T07:25:30Z
dc.descriptionWe study the zero dispersion limit of the fifth order KdV equations when time is sufficiently large. In general, the weak limit may be described by an arbitrary odd number of hyperbolic equations. Unlike the KdV case, these are non-strictly hyperbolic equations. However, we show that the weak limit is governed by three hyperbolic equations in a domain in the space-time for all times bigger than a large time. Outside this domain, the weak limit satisfies a single hyperbolic equation.
dc.description32 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/nlin/0608066
dc.identifierhttp://arxiv.org/abs/nlin/0608066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116739
dc.subjectExactly Solvable and Integrable Systems
dc.subjectAnalysis of PDEs
dc.titleLarge Time Behavior of the Zero Dispersion Limit of the Fifth Order KdV Equation
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