Summary
Nonlinear waves in a stratified atmosphere with basic uniform flow are studied by adopting geostrophic momentum approximation (cf. Hoskins, 1975) and the method of travelling wave solution. A nonlinear equation containing a unique variable of vertical p velocity is derived from a complete system of equations considering frictionless and adiabatic fluid. The stability of the solution for the nonlinear equation is discussed then. Furthermore, the approximate cnoidal wave solution, solitary wave solution and their existence condition are obtained.
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Received July 8, 1998 Revised December 1, 1998
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Xu, Y., Lin, Z. & Dang, R. The Stability and Existence Condition of Nonlinear Travelling Wave Solution in Basic Uniform Flow. Meteorol Atmos Phys 70, 71–80 (1999). https://doi.org/10.1007/s007030050025
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DOI: https://doi.org/10.1007/s007030050025