New travelling wave solutions for a nonlinearly dispersive wave equation of Camassa-Holm equation type

作者：Long Yao^*; Li Zhenyang; Rui Weiguo

来源：Applied Mathematics and Computation, 2010, 217(4): 1315-1320.

DOI：10.1016/j.amc.2009.04.083

• Nonlinearly dispersive wave equation of
• Camassa-Holm equation type
• Integral bifurcation method
• Loop soliton solution
• Periodic loop soliton solution
• Solitary wave solution
• Solitary cusp wave solution

In this paper, the integral bifurcation method is used to study a nonlinearly dispersive wave equation of Camassa-Holm equation type. Loop soliton solution and periodic loop soliton solution, solitary wave solution and solitary cusp wave solution, smooth periodic wave solution and non-smooth periodic wave solution of this equation are obtained, their dynamic characters are discussed. Some solutions have an interesting phenomenon that one solution admits multi-waves when parameters vary.

• 出版日期2010-10-15
• 单位红河学院