Topography and the Non-linear Rossby Wave in the Zonal Shear Basic Flow

He Jianzhong

doi:10.1007/BF02919146

Impact Factor: 5.8

Volume 10 Issue 2

Mar. 1993

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1993 > 10(2): 233-242

Topography and the Non-linear Rossby Wave in the Zonal Shear Basic Flow

He Jianzhong

1.
Nanjing Institute of Meteorology, Nanjing 210044

He Jianzhong

doi: 10.1007/BF02919146

Abstract
References
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Abstract:
Under semi geostropical approximation, by means or phase angle function the non-linear ordinary differential equation is derived involving topography and zonal shear basic flow. Conditions for the existence of limited amplitude periodical and isolated wave solutions are directly obtained based on the qualitative theory of the ordinary differentical equation. Analysis is thus made of the influence of topography and zonal shear flow on the existence of wave solution. Finally, explicit wave solutions are determined by function approaching with the result that topogra-phy and zonal shear flow affect not only the existence but also the form of waves, indicating the non-linear features of waves and the effect of topography and shear basic flow on undulation.
References

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Manuscript History

Manuscript received: 10 March 1993

Manuscript revised: 10 March 1993

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Topography and the Non-linear Rossby Wave in the Zonal Shear Basic Flow

He Jianzhong

1. Nanjing Institute of Meteorology, Nanjing 210044

Manuscript received: 1993-03-10
Manuscript revised: 1993-03-10

Abstract: Under semi geostropical approximation, by means or phase angle function the non-linear ordinary differential equation is derived involving topography and zonal shear basic flow. Conditions for the existence of limited amplitude periodical and isolated wave solutions are directly obtained based on the qualitative theory of the ordinary differentical equation. Analysis is thus made of the influence of topography and zonal shear flow on the existence of wave solution. Finally, explicit wave solutions are determined by function approaching with the result that topogra-phy and zonal shear flow affect not only the existence but also the form of waves, indicating the non-linear features of waves and the effect of topography and shear basic flow on undulation.