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

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

2007-04-19

arxiv.org/abs/0704.2527v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

31 pages, 1 figure

Scientific paper

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.

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