Nonlinear excitations and "peakons" of a (2+1)-dimensional generalized Broer-Kaup system

被引：2

作者：

Tang, X. Y. ^{[1
]}

Chow, K. W.

Lou, S. Y.

机构：

[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China

[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

[3] Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China

来源：

ACTA MECHANICA SINICA | 2007年 / 23卷 / 02期

基金：

中国国家自然科学基金;

关键词：

shallow water wave; excitation; Broer-Kaup system; peakon;

D O I：

10.1007/s10409-007-0062-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg-de Vries, the Camassa-Holm, and the Whitham-Broer-Kaup (WBK) equations. Here a generalized WBK system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives ("peakons") is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.

引用

页码：209 / 214

页数：6

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