Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations
Exactly Solvable and Integrable Systems
2007-05-23 v1 Analysis of PDEs
Abstract
We 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.
Keywords
Cite
@article{arxiv.nlin/0607061,
title = {Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations},
author = {V. U. Pierce and Fei-Ran Tian},
journal= {arXiv preprint arXiv:nlin/0607061},
year = {2007}
}
Comments
38 pages, 8 figures