Traveling solitary wave solutions to the generalized Boussinesq equation

被引：18

作者：

Feng, ZS ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

WAVE MOTION | 2003年 / 37卷 / 01期

关键词：

D O I：

10.1016/S0165-2125(02)00019-7

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, we are concerned with the generalized Boussinesq equation including the singularly sixth-order Boussinesq equation, which describes the bi-directional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number less than but very close to 1/3. By the means of two proper ansatzs, we obtain explicit traveling solitary wave solutions to the generalized Boussinesq equation. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：17 / 23

页数：7

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