| STUDY OF NONLINEAR ROSSBY WAVES IN THE ATMOSPHERE UNDER SEMI-GEOSTROPHIC APPROXIMATION |
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| 作者姓名： | 何建中 |
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| 作者单位： | Nanjing Institute |
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| 基金项目： | This work is supported by National Natural Science Foundation of China. |
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| 摘 要： | Under semi-geostrophic approximation the nonlinear ordinary differential equations are obtained for the motion inthe barotropic and baroclinic atmospheres with the effects of zonal shear basic flow and topographic forcing included.Two constraints are acquired of finite-amplitude periodic and solitary waves in the original model with the aid of thephase-plane geometric qualitative theory of a dynamic system defined by the differential equation.The explicit solutionof the nonlinear waves is found by means of the approximation method and some significant results are achieved.
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STUDY OF NONLINEAR ROSSBY WAVES IN THE ATMOSPHERE UNDER SEMI-GEOSTROPHIC APPROXIMATION |
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| He Jianzhong Nanjing Institute of Meteorology,N anjing.STUDY OF NONLINEAR ROSSBY WAVES IN THE ATMOSPHERE UNDER SEMI-GEOSTROPHIC APPROXIMATION[J].Acta Meteorologica Sinica,1993(1). |
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| Authors: | He Jianzhong Nanjing Institute of Meteorology N anjing |
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| Institution: | He Jianzhong Nanjing Institute of Meteorology,N anjing 210044 |
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| Abstract: | Under semi-geostrophic approximation the nonlinear ordinary differential equations are obtained for the motion in the barotropic and baroclinic atmospheres with the effects of zonal shear basic flow and topographic forcing included. Two constraints are acquired of finite-amplitude periodic and solitary waves in the original model with the aid of the phase-plane geometric qualitative theory of a dynamic system defined by the differential equation.The explicit solution of the nonlinear waves is found by means of the approximation method and some significant results are achieved. |
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| Keywords: | semi-geostrophic dynamic system phase plane nonlinear Rossby waves |
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