Localized waves solutions for the fifth-order coupled extended modified KdV equation

被引：0
|
作者：
Song, N. [1 ]
Liu, R. [1 ]
Guo, M. M. [1 ]
Ma, W. X. [2 ,3 ,4 ,5 ]
机构：
[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[5] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
来源：
WAVE MOTION | 2024年 / 124卷
基金：
中国国家自然科学基金;
关键词：
Coupled extended modified KdV equation; Kuznetsov-Ma breathers; Generalized Darboux transformation; Localized wave solutions;
D O I：
10.1016/j.wavemoti.2023.103244
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The fifth-order coupled extended modified Korteweg-de-Vries (KdV) equation is studied. Based on seed solutions and Lax pairs, the Nth-order iterative expression of the localized wave solutions of the equation are obtained by the generalized Darboux transformation. Then, through numerical simulation, the evolution plots of the interaction of rogue waves with dark-bright solitons and the Kuznetsov-Ma breathers are derived. The results demonstrate the abundant dynamical patterns of localized waves in the fifth-order coupled systems.
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页数：7
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