A novel model for the fifth-order mKP equation describing (2+1)-dimensional shallow ocean solitary waves and their properties

doi:10.1088/1402-4896/ad07bb

CORC > 海洋研究所 > 中国科学院海洋研究所 > 海洋生态与环境科学重点实验室

	A novel model for the fifth-order mKP equation describing (2+1)-dimensional shallow ocean solitary waves and their properties
	Zhao, Kailun 1,5; Gao, Guandong 1,2,3,4; Yang, Dezhou 1,2,3,4; Xu, Lingjing 1,2,3; Feng, Xingru 1,2,3,4; Yin, Baoshu 1,2,3,4; Han, Xiaofeng 5
刊名	PHYSICA SCRIPTA
	2023-12-01
卷号	98 期号:12 页码:20
关键词	solitary waves multiscale analysis and perturbation expansion fifth-order modified KP equation G'/G expansion method conservation laws
ISSN号	0031-8949
DOI	10.1088/1402-4896/ad07bb
通讯作者	Gao, Guandong(guandonggao@qdio.ac.cn) ; Yang, Dezhou(yangdezhou@qdio.ac.cn)
英文摘要	In this paper, we develop a (2+1)-dimensional fifth-order modified Kadomtsev-Petviashvili (mKP) equation model using multiscale analysis and perturbation expansion, which is a novel model description of the shallow ocean solitary waves phenomenon, featuring stronger nonlinear terms and a higher-order compared to traditional models. We examine the conservation law within the model to further investigate the properties of solitary waves. Subsequently, we obtain the exact solutions of the model by employing the G ' G expansion method. We simulate the generation and propagation of solitary waves through appropriate parameter adjustments, deriving the solitary wave solutions, kink wave solutions, and periodic wave solutions. Additionally, we analyze the effects of different parameters on the propagation of solitary waves. Finally, we explore the evolution of solitary waves before and after generation under a given initial perturbation conditions. This study contributes to a deeper understanding of the intricate dynamics of shallow ocean solitary waves, shedding light on their behaviour and implications.
资助项目	This study was supported by the Laoshan Laboratory (Qingdao) (No.LSKJ202202504, and No.LSKJ2022020103, and LSKJ202202902), the Strategic Priority Research Program of the Chinese Academy of Sciences (Nos.XDB42000000) and the National Natural Science Foundat[No.LSKJ2022020103] ; This study was supported by the Laoshan Laboratory (Qingdao) (No.LSKJ202202504, and No.LSKJ2022020103, and LSKJ202202902), the Strategic Priority Research Program of the Chinese Academy of Sciences (Nos.XDB42000000) and the National Natural Science Foundat[LSKJ202202902] ; Laoshan Laboratory (Qingdao) ; Strategic Priority Research Program of the Chinese Academy of Sciences[92158202] ; National Natural Science Foundation of China
WOS关键词	KADOMTSEV-PETVIASHVILI ; STABILITY ANALYSIS ; CONSERVATION-LAWS ; KP EQUATIONS ; BOUSSINESQ
WOS研究方向	Physics
语种	英语
出版者	IOP Publishing Ltd
WOS记录号	WOS:001099220800001
内容类型	期刊论文
源URL	[http://ir.qdio.ac.cn/handle/337002/183912]
专题	海洋研究所_海洋生态与环境科学重点实验室
通讯作者	Gao, Guandong; Yang, Dezhou
作者单位	1.Chinese Acad Sci, Key Lab Ocean Circulat & Waves, Inst Oceanol, Qingdao, Peoples R China 2.Chinese Acad Sci, CAS Engn Lab Marine Ranching, Inst Oceanol, Qingdao, Peoples R China 3.Qingdao Natl Lab Marine Sci & Technol, Qingdao, Peoples R China 4.Univ Chinese Acad Sci, Beijing, Peoples R China 5.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Kailun,Gao, Guandong,Yang, Dezhou,et al. A novel model for the fifth-order mKP equation describing (2+1)-dimensional shallow ocean solitary waves and their properties[J]. PHYSICA SCRIPTA,2023,98(12):20.
APA	Zhao, Kailun.,Gao, Guandong.,Yang, Dezhou.,Xu, Lingjing.,Feng, Xingru.,...&Han, Xiaofeng.(2023).A novel model for the fifth-order mKP equation describing (2+1)-dimensional shallow ocean solitary waves and their properties.PHYSICA SCRIPTA,98(12),20.
MLA	Zhao, Kailun,et al."A novel model for the fifth-order mKP equation describing (2+1)-dimensional shallow ocean solitary waves and their properties".PHYSICA SCRIPTA 98.12(2023):20.