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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 |
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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.
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Received: 07 July 2022
Revised: 08 August 2022
Accepted manuscript online: 16 August 2022
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PACS:
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05.45.Yv
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(Solitons)
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02.30.Ik
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(Integrable systems)
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02.30.Jr
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(Partial differential equations)
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| 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: kaixinguoan@163.com
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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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