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Forced solitary Rossby waves under the influence of slowly varying topography with time |
Yang Hong-Wei(杨红卫)a), Yin Bao-Shu(尹宝树) b)c)†, Yang De-Zhou(杨徳周)b)c), and Xu Zhen-Hua(徐振华)b)c) |
a College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China; b Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China; c Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China |
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Abstract By using a weakly nonlinear and perturbation method, the generalized inhomogeneous Korteweg-de Vries (KdV)-Burgers equation is derived, which governs the evolution of the amplitude of Rossby waves under the influence of dissipation and slowly varying topography with time. The analysis indicates that dissipation and slowly varying topography with time are important factors in causing variation in the mass and energy of solitary waves.
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Received: 10 May 2011
Revised: 18 July 2011
Accepted manuscript online:
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PACS:
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02.30.Jr
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(Partial differential equations)
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47.35.Fg
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(Solitary waves)
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92.10.Hm
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(Ocean waves and oscillations)
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Fund: Project supported by the Knowledge Innovation Key Program of the Chinese Academy of Sciences (Grant No. KZCX1-YW-12) and the National Key Science Foundation of China (Grant No. 41030855). |
Cite this article:
Yang Hong-Wei(杨红卫), Yin Bao-Shu(尹宝树), Yang De-Zhou(杨徳周), and Xu Zhen-Hua(徐振华) Forced solitary Rossby waves under the influence of slowly varying topography with time 2011 Chin. Phys. B 20 120203
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