Institutional Repository of Key Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
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 | |
发表期刊 | PHYSICA SCRIPTA |
ISSN | 0031-8949 |
卷号 | 98期号:12页码:20 |
通讯作者 | Gao, Guandong([email protected]) ; Yang, Dezhou([email protected]) |
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. |
关键词 | solitary waves multiscale analysis and perturbation expansion fifth-order modified KP equation G'/G expansion method conservation laws |
DOI | 10.1088/1402-4896/ad07bb |
收录类别 | SCI |
语种 | 英语 |
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研究方向 | Physics |
WOS类目 | Physics, Multidisciplinary |
WOS记录号 | WOS:001099220800001 |
出版者 | IOP Publishing Ltd |
WOS关键词 | KADOMTSEV-PETVIASHVILI ; STABILITY ANALYSIS ; CONSERVATION-LAWS ; KP EQUATIONS ; BOUSSINESQ |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.qdio.ac.cn/handle/337002/183913 |
专题 | 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 |
通讯作者 | Gao, Guandong; Yang, Dezhou |
作者单位 | 1.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 |
第一作者单位 | 海洋环流与波动重点实验室 |
通讯作者单位 | 海洋环流与波动重点实验室; 中国科学院海洋研究所 |
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. |
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文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
Zhao_2023_Phys._Scr.(2485KB) | 期刊论文 | 出版稿 | 限制开放 | CC BY-NC-SA | 浏览 |
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