Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation 被引量：5

Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation

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摘要 The travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation ut-uxxt + (1 + b)umux = buxuxx + uuxxx are considered where b > 1 and m are positive integers. The qualitative analysis methods of planar autonomous systems yield its phase portraits. Its soliton wave solutions, kink or antikink wave solutions, peakon wave solutions, compacton wave solutions, periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given. The travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation ut-uxxt ＋（1 ＋ b）umux = buxuxx ＋ uuxxx are considered where b 1 and m are positive integers. The qualitative analysis methods of planar autonomous systems yield its phase portraits. Its soliton wave solutions, kink or antikink wave solutions, peakon wave solutions, compacton wave solutions, periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given.

作者 DENG ShengFu1, GUO BoLing2 & WANG TingChun2,3 1Department of Mathematics, Zhanjiang Normal University, Zhanjiang 524048, China 2Institute of Applied Physics and Computational Mathematics, Beijing 100088, China 3 College of Math and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China

出处《Science China Mathematics》 SCIE 2011年第3期555-572,共18页 中国科学：数学（英文版）

基金 supported by China Postdoctoral Science Foundation (Grant Nos. 20100470249, 20100470254)

关键词 homoclinic orbits heteroclinic orbits peakon wave solutions compacton wave solutions periodic cusp wave solutions 行波解广义方程定性分析方法平面自治系统孤立波解周期波解 UT斯达康

分类号 O241.8 [理学—计算数学]

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