Weak interaction between solitary waves of the generalized KdV equations

被引：19
|
作者：
Mizumachi, T [1 ]
机构：
[1] Yokohama City Univ, Fac Sci, Dept Math Sci, Yokohama, Kanagawa 2360027, Japan
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2003年 / 35卷 / 04期
关键词：
generalized Korteweg-de Vries equations; interaction of solitary waves; asymptotic behavior;
D O I：
10.1137/S003614100240871X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the large time behavior of two decoupled solitary waves of the generalized KdV equations u(t) + (u(xx) + f(u))(x) = 0, where f(u) = |u|(p-1)u/p (3 less than or equal to p < 5). We prove that if the speeds of the solitary waves are sufficiently close at the initial time, the leading wave becomes larger and the trailing wave becomes smaller, and the distance between two solitary waves becomes larger as t-->infinity.
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页码：1042 / 1080
页数：39
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