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Forced dissipative Boussinesq equation for solitary waves excited by unstable topography |
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| Authors: | Hong Wei Yang Bao Shu Yin Yun Long Shi |
| Institution: | 1. Information School, Shandong University of Science and Technology, Qingdao, 266590, China 2. Institute of Oceanology, China Academy of Sciences, Qingdao, 266071, China 3. Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao, 266071, China |
| Abstract: | In the paper, the effects of topographic forcing and dissipation on solitary Rossby waves are studied. Special attention is given to solitary Rossby waves excited by unstable topography. Based on the perturbation analysis, it is shown that the nonlinear evolution equation for the wave amplitude satisfies a forced dissipative Boussinesq equation. By using the modified Jacobi elliptic function expansion method and the pseudo-spectral method, the solutions of homogeneous and inhomogeneous dissipative Boussinesq equation are obtained, respectively. With the help of these solutions, the evolutional character of Rossby waves under the influence of dissipation and unstable topography is discussed. |
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