Novel resonant soliton interactions for the Konopelchenko-Dubrovsky equation

被引:0
作者
Yuan, Yu-Qiang [1 ]
Luo, Xiang [1 ]
Sun, Yan [2 ]
Liu, Lei [3 ,4 ]
机构
[1] Wenzhou Univ Technol, Sch Data Sci & Artificial Intelligence, Wenzhou 325035, Peoples R China
[2] Dalian Maritime Univ, Sch Sci, Dalian 116026, Peoples R China
[3] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[4] Chongqing Univ, Minist Educ, Key Lab Nonlinear Anal & its Applicat, Chongqing 401331, Peoples R China
基金
中国国家自然科学基金;
关键词
Konopelchenko-Dubrovsky equation; Resonant soliton interactions; Asymptotic analysis; WAVES;
D O I
10.1016/j.physleta.2025.130331
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper investigates the resonant soliton interactions for the (2+ 1)-dimensional Konopelchenko-Dubrovsky equation, a model that describes shallow water waves with weak nonlinear restoring forces. Through symbolic computation and asymptotic analysis, we make a comprehensive classification of the resonant interactions between two solitons. Such equation admits both bell-shaped solitons and kink solitons, and allows us to identify four distinct types of resonance interactions, expanding beyond the common two cases. A novel discovery is the resonant interaction between a bell-shaped soliton and a kink soliton, where the bell-shaped soliton transforms into a kink soliton, which has not been reported before. Detailed graphical analyses are presented, providing clear visual representations of the soliton behaviors and their dynamic interactions. The results obtained in this study offer new insights into the complexity of soliton dynamics in higher-dimensional nonlinear systems.
引用
收藏
页数:8
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