Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations

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dc.creatorPierce, V. U.
dc.creatorTian, Fei-Ran
dc.date2006-07-27
dc.date.accessioned2026-07-07T07:22:28Z
dc.date.available2026-07-07T07:22:28Z
dc.descriptionWe study the Whitham equations for the fifth order KdV equation. The equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested in the solution of the Whitham equations when the initial values are given by a step function. We classify the step like initial data into eight different types. We construct self-similar solutions for each type.
dc.description38 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/nlin/0607061
dc.identifierhttp://arxiv.org/abs/nlin/0607061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115668
dc.subjectExactly Solvable and Integrable Systems
dc.subjectAnalysis of PDEs
dc.titleSelf-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations
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