Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations for the KdV Hierarchy
Exactly Solvable and Integrable Systems
2007-05-23 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.0704.2527,
title = {Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations for the KdV Hierarchy},
author = {V. U. Pierce and Fei-Ran Tian},
journal= {arXiv preprint arXiv:0704.2527},
year = {2007}
}
Comments
31 pages, 1 figure