Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa-Holm Equation

作者：Zhou, Yuqian; Chen, Guanrong; Li, Jibin^*

来源：International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2022, 32(05): 2250076.

DOI：10.1142/S0218127422500766

• Bifurcation
• solitary wave
• periodic wave
• peakon
• periodic peakon
• compacton
• modified Camassa-Holm equation

For the modified Camassa-Holm equation, by using the methodologies of dynamical systems and singular traveling wave theory developed by Li and Cheri [2007] to its corresponding traveling wave system, under different parameter conditions, all possible exact explicit bounded solutions (solitary wave solutions, periodic wave solutions, peakon, periodic peakons, as well as compactons) are obtained. More than 23 explicit exact parametric representations of the above-mentioned traveling wave system are presented.

• 单位
  浙江师范大学