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Nonlinear excitations and ＂peakons＂ of a （2＋1）-dimensional generalized Broer-Kaup system
  • ISSN号：0567-7718
  • 期刊名称：《力学学报：英文版》
  • 时间：0
  • 分类：O193[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Physics, Shanghai Jiao Tong University,Shanghai 200030, China, [2]Department of Mechanical Engineering,University of Hong Kong,Hong Kong, China, [3]Department of Physics, Ningbo University,Ningbo 315211, China
  • 相关基金：The project supported by the National Natural Science Foundation of China （10475055, 10547124 and 90503006）, and the Hong Kong Research Grant Council Contract HKU 7123/05E.
作者： X. Y. Tang, K. W. Chow, S. Y. Lou
关键词： (2+1)-维广义Broer-Kaup系统, 非线性激励, 尖峰孤立波解, 浅水波, Shallow water wave .Excitation Broer-Kaup system .Peakon
中文摘要：

浅水波浪和大量长波浪现象被非线性的进化方程的各种各样的模型通常调查。例子包括 Korteweg de Vries， Camassa 河边肥沃的低地，并且 Whitham Broer Kaup (WBK ) 方程。这一个概括 WBK 系统经由多线性的可变分离途径被学习。有不连续的衍生物(“山峰 ons ”) 的波浪侧面的一个特殊的班被开发。各种各样的特征的 Peakons，例如周期，搏动或分数维，被调查，如此的实体的相互作用被学习。

英文摘要：

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.

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期刊信息
  • 《力学学报：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：卢天健
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：actams@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0567-7718
  • 国内统一刊号：ISSN：11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
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  • 被引量:352