Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids
Joint Authors
Shi, Yunlong
Wang, Qingbiao
Yang, Hongwei
Yin, Baoshu
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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 α 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.
American Psychological Association (APA)
Yang, Hongwei& Yin, Baoshu& Shi, Yunlong& Wang, Qingbiao. 2012. Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1028906
Modern Language Association (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 No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1028906
American Medical Association (AMA)
Yang, Hongwei& Yin, Baoshu& Shi, Yunlong& Wang, Qingbiao. Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1028906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028906