Bifurcations of travelling wave solutions for two generalized Boussinesq systems

• 来源期刊: 中国科学A辑(英文版)
• 年，卷（期）: 2008,（9）
• 页码范围: 1577-1592
• 页数: 16页
• 语种: 英文
• DOI: 10.1007/s11425-008-0038-7

摘要

Using the methods of dynamical systems for two generalized Boussinesq systems,the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained.Exact explicit parametric representations of the travelling solutions are given.To guarantee the existence of the above solutions,all parameter conditions are determined.