Dispersive regularization of the Whitham equation for the Toda lattice
Dispersive regularization of the Whitham equation for the Toda lattice
复制标题
Toda 晶格 Whitham 方程的色散正则化
DOI：
10.1137/0152052
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发表时间：
1992
影响因子：
1.9
通讯作者：
Y. Kodama
中科院分区：
文献类型：
--
作者：
A. Bloch;Y. Kodama
本文研究了户田格点多相波列慢调制的平均（Whitham）方程。我们的主要结果是显示如何与步骤初始条件的解决方案可以通过选择一个适当的黎曼曲面上定义的Whitham方程的正则化。
In this paper the averaged (Whitham) equations for the slow modulations of multi-phase wavetrains for the Toda lattice are studied. Our main result is showing how the solution with step initial conditions may be regularized by choosing an appropriate Riemann surface on which the Whitham equation is defined.