Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids
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-...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/491343 |
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| author | Hongwei Yang Baoshu Yin Yunlong Shi Qingbiao Wang |
| author_facet | Hongwei Yang Baoshu Yin Yunlong Shi Qingbiao Wang |
| author_sort | Hongwei Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e2a3ca2f8e9c427cb4a77942e326cafa |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e2a3ca2f8e9c427cb4a77942e326cafa2025-02-03T06:06:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/491343491343Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth FluidsHongwei Yang0Baoshu Yin1Yunlong Shi2Qingbiao Wang3Institute of Oceanology, China Academy of Sciences, Qingdao 266071, ChinaInstitute of Oceanology, China Academy of Sciences, Qingdao 266071, ChinaInformation School, Shandong University of Science and Technology, Qingdao 266590, ChinaDepartment of Resource and Civil Engineering, Shandong University of Science and Technology, Taian 271019, ChinaThe 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.http://dx.doi.org/10.1155/2012/491343 |
| spellingShingle | Hongwei Yang Baoshu Yin Yunlong Shi Qingbiao Wang Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids Journal of Applied Mathematics |
| title | Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids |
| title_full | Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids |
| title_fullStr | Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids |
| title_full_unstemmed | Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids |
| title_short | Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids |
| title_sort | forced ilw burgers equation as a model for rossby solitary waves generated by topography in finite depth fluids |
| url | http://dx.doi.org/10.1155/2012/491343 |
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