Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations for the KdV Hierarchy

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We study the Whitham equations for all the higher order KdV equations. The Whitham 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.
31 pages, 1 figure

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Exactly Solvable and Integrable Systems, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/127679

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.2527
 http://arxiv.org/abs/0704.2527

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arXiv