N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method

doi:10.1016/j.wavemoti.2022.103053

	N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method
	Zhang, Minghe ; Weng, Weifang ; Yan, Zhenya 1
刊名	WAVE MOTION
	2022-09-01
卷号	114 页码:13
关键词	Multi-component third-fifth-order mKdV equations Lax pair Riemann-Hilbert approach Soliton solutions Breathers
ISSN号	0165-2125
DOI	10.1016/j.wavemoti.2022.103053
英文摘要	In this paper, we mainly focus on the Riemann-Hilbert approach solving the general n-component third-fifth-order mKdV (n-(3,5)-mKdV) equations containing the n-component mKdV equation, fifth-order mKdV equation, and their combination. Starting from the spectral analysis of the (n + 1)-order matrix Lax pair, we give the corresponding (n + 1)-order matrixed-type Riemann-Hilbert problem. By solving the Riemann-Hilbert problem, N-soliton solutions of the n-(3,5)-mKdV equations can be found. Particularly, for the case of reflectionless and some types of spectral parameters of the Lax pair, we analyze the interactions of some kinds of solutions of the 3-component mKdV equation, fifth-order mKdV equation, and third-fifth-order mKdV equations, including breather solutions, W-shaped solutions, anti-bright and bright solutions. Some elastic collisions between them are also presented. In addition, the multi-pole solutions are obtained for the n-(3,5)-mKdV equations through the L'Hospital's rule. These results will be useful to further understand the related wave phenomena in the multi-component physical systems. (C) 2022 Elsevier B.V. All rights reserved.
资助项目	National Natural Science Foundation of China[11925108]
WOS研究方向	Acoustics ; Mechanics ; Physics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000857391800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61010]
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Minghe,Weng, Weifang,Yan, Zhenya. N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method[J]. WAVE MOTION,2022,114:13.
APA	Zhang, Minghe,Weng, Weifang,&Yan, Zhenya.(2022).N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method.WAVE MOTION,114,13.
MLA	Zhang, Minghe,et al."N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method".WAVE MOTION 114(2022):13.