| GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
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Nonlinear Shock and Kink Waves with Complete Coriolis Force in Earth's Atmosphere |
| YU Xin, ZHAO Qiang |
| School of Physics, Peking University, Beijing 100871 |
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| Cite this article: |
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YU Xin, ZHAO Qiang 2009 Chin. Phys. Lett. 26 039201 |
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Abstract Nonlinear waves in a Boussinesq fluid model which includes both the vertical and horizontal components of Coriolis force are studied by using the semi-geostrophic approximation and the method of travelling-wave solution. Taylor series expansion has been employed to isolate the characteristics of the linear Rossby waves and to identify the nonlinear shock and kink waves. The KdV-Burgers and the compound KdV-Burgers equations are derived, their shock wave and kink wave solution are also obtained.
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| Keywords:
92.10.Ei
52.35.Mw
52.35.Tc
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Received: 06 November 2008
Published: 19 February 2009
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| PACS: |
92.10.Ei
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(Coriolis effects)
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52.35.Mw
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(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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52.35.Tc
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(Shock waves and discontinuities)
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