Self-similar solutions of the non-strictly hyperbolic Whitham equations

被引：0

作者：

Pierce, Virgil U. ^{[1
]}

Tian, Fei-Ran ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2006年 / 4卷 / 04期

关键词：

zero dispersion limit; Whitham equations; non-stricitly hyperbolic equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：799 / 822

页数：24

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