DISPERSIVE REGULARIZATION OF THE WHITHAM EQUATION FOR THE TODA LATTICE

被引：36
作者：
BLOCH, AM
KODAMA, Y
机构：
[1] Department of Mathematics, Ohio State University, Columbus, 43210, OH
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 04期
基金：
美国国家科学基金会;
关键词：
TODA LATTICE; WHITHAM EQUATION; SHOCKS; REGULARIZATION;
D O I：
10.1137/0152052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the averaged (Whitham) equations for the slow modulations of multiphase 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.
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收藏
页码：909 / 928
页数：20
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