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A novel model for the fifth-order mKP equation describing (2+1)-dimensional shallow ocean solitary waves and their properties
Zhao, Kailun1,2; Gao, Guandong2,3,4,5; Yang, Dezhou2,3,4,5; Xu, Lingjing2,3,5; Feng, Xingru2,3,4,5; Yin, Baoshu2,3,4,5; Han, Xiaofeng1
2023-12-01
Source PublicationPHYSICA SCRIPTA
ISSN0031-8949
Volume98Issue:12Pages:20
Corresponding AuthorGao, Guandong(guandonggao@qdio.ac.cn) ; Yang, Dezhou(yangdezhou@qdio.ac.cn)
AbstractIn 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.
Keywordsolitary waves multiscale analysis and perturbation expansion fifth-order modified KP equation G'/G expansion method conservation laws
DOI10.1088/1402-4896/ad07bb
Indexed BySCI
Language英语
Funding ProjectThis 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 Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:001099220800001
PublisherIOP Publishing Ltd
WOS KeywordKADOMTSEV-PETVIASHVILI ; STABILITY ANALYSIS ; CONSERVATION-LAWS ; KP EQUATIONS ; BOUSSINESQ
Citation statistics
Document Type期刊论文
Identifierhttp://ir.qdio.ac.cn/handle/337002/183913
Collection海洋环流与波动重点实验室
海洋生态与环境科学重点实验室
Corresponding AuthorGao, Guandong; Yang, Dezhou
Affiliation1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China
2.Chinese Acad Sci, Key Lab Ocean Circulat & Waves, 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.Chinese Acad Sci, CAS Engn Lab Marine Ranching, Inst Oceanol, Qingdao, Peoples R China
First Author AffilicationKey Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
Corresponding Author AffilicationKey Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences;  Institute of Oceanology, Chinese Academy of Sciences
Recommended Citation
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.
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