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Forced solitary Rossby waves under the influence of slowly varying topography with time |
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| Authors: | Yang Hong-Wei Yin Bao-Shu Yang De-Zhou and Xu Zhen-Hua |
| Institution: | College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China |
| 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. |
| Keywords: | slowly varying topography dissipation generalized inhomogeneous Korteweg-de Vries(KdV)-Burgers equation forced solitary Rossby waves |
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