Nonlinear Near Inertial Waves With Complete Coriolis Effects

DU Chunyao; YANG Liangui; ZHANG Yongli; ZHANG Ruigang

doi:10.21656/1000-0887.390280

Volume 40 Issue 9

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DU Chunyao, YANG Liangui, ZHANG Yongli, ZHANG Ruigang. Nonlinear Near Inertial Waves With Complete Coriolis Effects[J]. Applied Mathematics and Mechanics, 2019, 40(9): 1000-1010. doi: 10.21656/1000-0887.390280

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Nonlinear Near Inertial Waves With Complete Coriolis Effects

doi: 10.21656/1000-0887.390280

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010000, P.R.China

Funds: The National Natural Science Foundation of China（11762011）

Received Date: 2018-12-24
Rev Recd Date: 2019-06-28
Publish Date: 2019-09-01

Abstract

Abstract

Based on the original basic equations of atmospheric motion under the action of the complete Coriolis force, through the scale analysis, the multi-scale method and the perturbation expansion method were used to derive the Korteweg-de Vries equation satisfying the amplitude evolution of the atmospheric near inertial wave at the mid-high latitudes. The results of the evolution equation show that, the influence of the horizontal component of the Coriolis parameter on the nonlinear near inertial wave mainly lies in the correction of the dispersion effect and the interaction with the elementary stream. The physical mechanism of atmospheric near inertial wave motion at the mid-high latitudes under the action of the complete Coriolis force was theoretically explained.
- near inertial wave,
- complete Coriolis force,
- Korteweg-de Vries equation

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References(27)

References

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