Scholarlink

<p>This work focuses on the dynamics of localized waves for the higher-order modified Gerdjikov–Ivanov equation. Based on the Lax pair, the <i>N</i>th-fold Darboux transformation is built. The modulation instability is analyzed based on the plane-wave solution. In addition, the second-, third- and fourth-order positon solutions are obtained and presented graphically. Specially, the interactions between higher-order rogue wave and space-time period breather are achieved. Moreover, the dynamic properties of the above localized waves are analyzed.</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

The multi-positon and interaction solutions of the higher-order modified Gerdjikov–Ivanov equation

  • 期刊论文

  • 发表日期：

    2025年1月18日

查看全文
  • Yi-Di Zhao,
  • Yu-Feng Wang,
  • Xi Zhang,
  • Yi-Xin Chen

摘要

This work focuses on the dynamics of localized waves for the higher-order modified Gerdjikov–Ivanov equation. Based on the Lax pair, the Nth-fold Darboux transformation is built. The modulation instability is analyzed based on the plane-wave solution. In addition, the second-, third- and fourth-order positon solutions are obtained and presented graphically. Specially, the interactions between higher-order rogue wave and space-time period breather are achieved. Moreover, the dynamic properties of the above localized waves are analyzed.