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.
机构:
China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Chai, Xuedong
Zhang, Yufeng
论文数: 0引用数: 0
h-index: 0
机构:
China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
机构:
North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
North China Elect Power Univ, Hebei Key Lab Phys & Energy Technol, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Du, Zhong
Nie, Yao
论文数: 0引用数: 0
h-index: 0
机构:
North China Elect Power Univ, Dept Mech Engn, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Nie, Yao
Guo, Qian
论文数: 0引用数: 0
h-index: 0
机构:
North China Elect Power Univ, Dept Mech Engn, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
机构:
North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
North China Elect Power Univ, Hebei Key Lab Phys & Energy Technol, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Du, Zhong
Zhao, Xue-Hui
论文数: 0引用数: 0
h-index: 0
机构:
Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot 010022, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
机构:
China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Chai, Xuedong
Zhang, Yufeng
论文数: 0引用数: 0
h-index: 0
机构:
China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
机构:
North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
North China Elect Power Univ, Hebei Key Lab Phys & Energy Technol, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Du, Zhong
Nie, Yao
论文数: 0引用数: 0
h-index: 0
机构:
North China Elect Power Univ, Dept Mech Engn, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Nie, Yao
Guo, Qian
论文数: 0引用数: 0
h-index: 0
机构:
North China Elect Power Univ, Dept Mech Engn, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
机构:
North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
North China Elect Power Univ, Hebei Key Lab Phys & Energy Technol, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Du, Zhong
Zhao, Xue-Hui
论文数: 0引用数: 0
h-index: 0
机构:
Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot 010022, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China