On head-on collisions between two solitary waves of Nwogu's Boussinesq model

被引：6

作者：

Chen, Chunli ^{[1
]}

Huang, Shoujun ^{[1
]}

Zhang, Jin E. ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Univ Hong Kong, SB & SEF, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2008年 / 77卷 / 01期

关键词：

Nwogu's Boussinesq equation; collision; perturbation method; phase shifts;

D O I：

10.1143/JPSJ.77.014003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the head-on collision between two solitary waves of Nwogu's Boussinesq equation which contains one parameter c that is related to that the horizontal velocities at what level are chosen as the horizontal velocity variables. We apply the perturbation method to derive an approximate solution to this equation and investigate the mechanics of the head-on collision. The impacts of the parameter c on the phase shifts and the maximum run-up amplitude of two colliding waves are studied. Comparison between our results and that of the integrable classical Boussinesq equation is also given.

引用

页数：9

共 20 条

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