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Chin. Phys. B, 2023, Vol. 32(3): 030505    DOI: 10.1088/1674-1056/ac89d9
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Soliton molecules, T-breather molecules and some interaction solutions in the (2+1)-dimensional generalized KDKK equation

Yiyuan Zhang(张艺源), Ziqi Liu(刘子琪), Jiaxin Qi(齐家馨), and Hongli An(安红利)
College of Sciences, Nanjing Agricultural University, Nanjing 210000, China
Abstract  By employing the complexification method and velocity resonant principle to $N$-solitons of the $(2+1)$-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt (KDKK) equation, we obtain the soliton molecules, $T$-breather molecules, $T$-breather-$L$-soliton molecules and some interaction solutions when $N\leq6$. Dynamical behaviors of these solutions are discussed analytically and graphically. The method adopted can be effectively used to construct soliton molecules and $T$-breather molecules of other nonlinear evolution equations. The results obtained may be helpful for experts to study the related phenomenon in oceanography and atmospheric science.
Keywords:  soliton molecules      breather molecules      interaction solutions      velocity resonant principle      Konopelchenko-Dubrovsky-Kaup-Kupershmidt (KDKK) equation  
Received:  07 July 2022      Revised:  08 August 2022      Accepted manuscript online:  16 August 2022
PACS:  05.45.Yv (Solitons)  
  02.30.Ik (Integrable systems)  
  02.30.Jr (Partial differential equations)  
Fund: Project supported by Jiangsu Provincial Natural Science Foundation of China (Grant Nos. BK20221508, 11775116, BK20210380, and JSSCBS20210277), SRT (Grant No. 202210307165Y), and Jiangsu Qinglan High-level Talent Project.
Corresponding Authors:  Hongli An     E-mail:

Cite this article: 

Yiyuan Zhang(张艺源), Ziqi Liu(刘子琪), Jiaxin Qi(齐家馨), and Hongli An(安红利) Soliton molecules, T-breather molecules and some interaction solutions in the (2+1)-dimensional generalized KDKK equation 2023 Chin. Phys. B 32 030505

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