Scholarlink

<p>We introduce a novel quartic Camassa-Holm type equation and address their traveling wave solutions. The difficulties related to the non-analytical vector fields and complex elliptic integrals are overcome by using the theory of singular traveling wave systems. Upon analyzing the bifurcations of the traveling wave solutions, we study the phase portraits of different topologies, and obtain some exact traveling wave solutions including peakons, periodic peakons, solitary waves, and kink wave solutions. Our results are useful to better understand wave phenomena described by partial differential equations with higher-order nonlinear terms, and pave the way to obtain the traveling wave solutions of other equations with similar nonlinear terms.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Bifurcations and Exact Peakons, Periodic Peakons, Solitary Wave, Kink Wave Solutions for the Quartic CH-Type Equation

  • 期刊论文

  • 发表日期：

    2025年1月17日

查看全文
  • Xueqiong Yi,
  • Yuqian Zhou,
  • Qian Liu,
  • Kebing Li,
  • Shengning Zhang

摘要

We introduce a novel quartic Camassa-Holm type equation and address their traveling wave solutions. The difficulties related to the non-analytical vector fields and complex elliptic integrals are overcome by using the theory of singular traveling wave systems. Upon analyzing the bifurcations of the traveling wave solutions, we study the phase portraits of different topologies, and obtain some exact traveling wave solutions including peakons, periodic peakons, solitary waves, and kink wave solutions. Our results are useful to better understand wave phenomena described by partial differential equations with higher-order nonlinear terms, and pave the way to obtain the traveling wave solutions of other equations with similar nonlinear terms.