ON SOLITARY-WAVE INTERACTION

被引：44

作者：

KODAMA, Y ^{[1
]}

机构：

[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210

来源：

PHYSICS LETTERS A | 1987年 / 123卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0375-9601(87)90227-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study analytically the interaction of the solitary waves of the regularized long-wave equation proposed by Peregrine and Benjamin et al. It is shown in the long-wave limit that the solitary waves interact inelastically, and that a new solitary wave as well as a radiation tail are generated as a result of the interaction. The result agrees with the numerical observation made by Bona et al. The analysis presented here can also be applied to the general weakly dispersive nonlinear wave systems, and it shows that the interaction property holds commonly for the nonintegrable systems. © 1987.

引用

页码：276 / 282

页数：7

共 10 条

[1]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, DOI [10.1137/1.9781611970883, DOI 10.1137/1.9781611970883]

[2]

ARNOLD V, 1983, GEOMETRICAL METHODS

[3] MODEL EQUATIONS FOR LONG WAVES IN NONLINEAR DISPERSIVE SYSTEMS [J].