General  M-lumps,  T-breathers, and hybrid solutions to (2+1)-dimensional generalized KDKK equation

doi:10.1088/1674-1056/abcf9f

中国物理B ›› 2021, Vol. 30 ›› Issue (4): 40503-.doi: 10.1088/1674-1056/abcf9f

收稿日期:2020-10-20 修回日期:2020-11-22 接受日期:2020-12-02 出版日期:2021-03-16 发布日期:2021-04-12

General M-lumps, T-breathers, and hybrid solutions to (2+1)-dimensional generalized KDKK equation

Peisen Yuan(袁培森)¹, Jiaxin Qi(齐家馨)³, Ziliang Li(李子良)², and Hongli An(安红利)^3,†

1 College of Artificial Intelligence, Nanjing Agricultural University, Nanjing 210095, China; 2 College of Oceanic and Atmospheric Sciences, Ocean University of China, Qingdao 266100, China; 3 College of Sciences, Nanjing Agricultural University, Nanjing 210095, China

Received:2020-10-20 Revised:2020-11-22 Accepted:2020-12-02 Online:2021-03-16 Published:2021-04-12
Contact: ^†Corresponding author. E-mail: hongli_an@njau.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11775116) and the Jiangsu Qinglan High-Level Talent Project.

摘要/Abstract

Abstract: A special transformation is introduced and thereby leads to the N-soliton solution of the (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt (KDKK) equation. Then, by employing the long wave limit and imposing complex conjugate constraints to the related solitons, various localized interaction solutions are constructed, including the general M-lumps, T-breathers, and hybrid wave solutions. Dynamical behaviors of these solutions are investigated analytically and graphically. The solutions obtained are very helpful in studying the interaction phenomena of nonlinear localized waves. Therefore, we hope these results can provide some theoretical guidance to the experts in oceanography, atmospheric science, and weather forecasting.

Key words: KDKK equation, Hirota bilinear method, high-order lump solution, T-breather solution, hybrid solution

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems) 02.30.Jr (Partial differential equations)

. [J]. 中国物理B, 2021, 30(4): 40503-.

Peisen Yuan(袁培森), Jiaxin Qi(齐家馨), Ziliang Li(李子良), and Hongli An(安红利). General M-lumps, T-breathers, and hybrid solutions to (2+1)-dimensional generalized KDKK equation[J]. Chin. Phys. B, 2021, 30(4): 40503-.

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General M-lumps, T-breathers, and hybrid solutions to (2+1)-dimensional generalized KDKK equation

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