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Periodic Structures of Rossby Wave under Influence of Dissipation |
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| Authors: | CHEN Zhe LI Chong-Yin FU Zun-Tao |
| Institution: | 1. LASG, Institute of Atmospheric Physics Academy of Sciences, Beijing 100029, China ;2. Graduate School of the Chinese Academy of Sciences, Beijing 100039, China ;3. Institute of Meterology, University of Science and Technology of the PLA, Nanjing 211101, China ;4. School of Physics, Peking University, Beijing 1000871, China ;5. State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China |
| Abstract: | A simple barotropic potential vorticity equation with the influence of dissipation is applied to investigate the nonlinear Rossby wave in a shear flow in the tropical atmophere. By the reductive perturbation method, we derive the rotational KdV (rKdV for short) equation. And then, with the help of Jacobi elliptic functions, we obtain various periodic structures for these Rossby waves. It is shown that dissipation is very important for these periodic structures of rational form. |
| Keywords: | rKdV equation elliptic equation Jacobi elliptic function periodic structure rational form |
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