Self-similar solutions of the non-strictly hyperbolic Whitham equations
Self-similar solutions of the non-strictly hyperbolic Whitham equations
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DOI：
10.4310/cms.2006.v4.n4.a7
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发表时间：
2006-07
影响因子：
1
通讯作者：
V. Pierce;F. Tian
中科院分区：
文献类型：
--
作者：
V. Pierce;F. Tian
研究了五阶KdV方程的Whitham方程.这些方程既不是严格的双曲方程，也不是真正的非线性方程。我们感兴趣的是Whitham方程的解时，初始值由一个阶梯函数。我们将阶跃样初始数据分为八种不同的类型。我们为每种类型构造自相似解。
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.