Theoretical analysis of equatorial near-inertial solitary waves under complete Coriolis parameters

Ruigang Zhang; Liangui Yang

doi:10.1007/s13131-020-1699-5

Volume 40 Issue 1

Feb. 2021

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Ruigang Zhang, Liangui Yang. Theoretical analysis of equatorial near-inertial solitary waves under complete Coriolis parameters[J]. Acta Oceanologica Sinica, 2021, 40(1): 54-61. doi: 10.1007/s13131-020-1699-5

Citation:

Ruigang Zhang, Liangui Yang. Theoretical analysis of equatorial near-inertial solitary waves under complete Coriolis parameters[J]. Acta Oceanologica Sinica, 2021, 40(1): 54-61. doi: 10.1007/s13131-020-1699-5

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Theoretical analysis of equatorial near-inertial solitary waves under complete Coriolis parameters

doi: 10.1007/s13131-020-1699-5

Ruigang Zhang¹,
Liangui Yang^{1
,
,}

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

Funds: The National Natural Science Foundation of China under contract No. 11762011; the Natural Science Foundation of Inner Mongolia Autonomous Region under contract No. 2020BS01002; the Research Program of Science at Universities of Inner Mongolia Autonomous Region under contract No. NJZY20003; the Scientific Starting Foundation of Inner Mongolia University under contract No. 21100-5185105.

More Information

Corresponding author: Email: lgyang@imu.edu.cn
Received Date: 2019-11-06
Accepted Date: 2019-12-09

Available Online: 2021-04-21

Publish Date: 2021-01-25

Abstract

Abstract

An investigation of equatorial near-inertial wave dynamics under complete Coriolis parameters is performed in this paper. Starting from the basic model equations of oceanic motions, a Korteweg de Vries equation is derived to simulate the evolution of equatorial nonlinear near-inertial waves by using methods of scaling analysis and perturbation expansions under the equatorial beta plane approximation. Theoretical dynamic analysis is finished based on the obtained Korteweg de Vries equation, and the results show that the horizontal component of Coriolis parameters is of great importance to the propagation of equatorial nonlinear near-inertial solitary waves by modifying its dispersion relation and by interacting with the basic background flow.
- complete Coriolis parameters,
- equatorial nonlinear near-inertial waves,
- Korteweg de Vries equation,
- solitary waves

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References(50)

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