Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids

doi:10.1155/2012/491343

IOCAS-IR > 海洋环流与波动重点实验室

	Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids
	Yang, Hongwei 1,2,3,4; Yin, Baoshu 1,4; Shi, Yunlong2 ; Wang, Qingbiao 5; Yin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China.
	2012
发表期刊	JOURNAL OF APPLIED MATHEMATICS
ISSN	1110-757X
页码	491343
文章类型	Article
摘要	The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is first derived and shown to reduce to the KdV- (Korteweg-de Vries-) Burgers equation in shallow fluids and BO- (Benjamin-Ono-) Burgers equation in deep fluids. By analysis and calculation, the perturbation solution and some conservation relations of the ILW-Burgers equation are obtained. Finally, with the help of pseudospectral method, the numerical solutions of the forced ILW-Burgers equation are given. The results demonstrate that the detuning parameter alpha holds important implications for the generation of the solitary waves. By comparing with the solitary waves governed by ILW-Burgers equation and BO-Burgers equation, we can conclude that the solitary waves generated by topography in finite depth fluids are different from that in deep fluids.
关键词	Stratified Fluids
学科领域	Mathematics, Applied
DOI	10.1155/2012/491343
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000310300300001
引用统计	被引频次：24[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/12149
专题	海洋环流与波动重点实验室
通讯作者	Yin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China.
作者单位	1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Shandong Univ Sci & Technol, Informat Sch, Qingdao 266590, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China 5.Shandong Univ Sci & Technol, Dept Resource & Civil Engn, Tai An 271019, Shandong, Peoples R China
第一作者单位	中国科学院海洋研究所; 海洋环流与波动重点实验室
推荐引用方式 GB/T 7714	Yang, Hongwei,Yin, Baoshu,Shi, Yunlong,et al. Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids[J]. JOURNAL OF APPLIED MATHEMATICS,2012:491343.
APA	Yang, Hongwei,Yin, Baoshu,Shi, Yunlong,Wang, Qingbiao,&Yin, BS .(2012).Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids.JOURNAL OF APPLIED MATHEMATICS,491343.
MLA	Yang, Hongwei,et al."Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids".JOURNAL OF APPLIED MATHEMATICS (2012):491343.

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