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

被引：0
|
作者：
Zhao, Yi-Di [1 ]
Wang, Yu-Feng [1 ]
Zhang, Xi [1 ]
Chen, Yi-Xin [1 ]
机构：
[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
来源：
NONLINEAR DYNAMICS | 2025年
关键词：
Higher-order modified Gerdjikov-Ivanov equation; Modulation instability; Positons; Interaction solutions; ROGUE WAVE; BREATHER;
D O I：
10.1007/s11071-025-10874-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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.
引用
收藏
页码：15257 / 15271
页数：15
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