(2+1)-dimensional coupled Boussinesq equations for Rossby waves in two-layer cylindrical fluid*

doi:10.1088/1572-9494/ac1ef7

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Communications in Theoretical Physics ›› 2021, Vol. 73 ›› Issue (11): 115005. doi: 10.1088/1572-9494/ac1ef7

• Mathematical Physics • Previous Articles Next Articles

(2+1)-dimensional coupled Boussinesq equations for Rossby waves in two-layer cylindrical fluid^*

Zheyuan Yu¹,Zongguo Zhang²,Hongwei Yang^1,()

¹College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, 266590, China
²School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China

Received: 2021-06-03 Revised: 2021-07-06 Accepted: 2021-08-19 Published: 2021-11-01
Contact: Hongwei Yang E-mail:hwyang1979@163.com
Funding Information:
* Nature Science Foundation of Shandong Province of China(ZR2018MA017)

Abstract

Abstract:

In this paper, the existence and propagation characteristics of Rossby waves in a two-layer cylindrical fluid are studied. Firstly, based on the dimensionless baroclinic quasi-geostrophic vortex equations including exogenous and dissipative, we derive new (2+1)-dimensional coupled Boussinesq equations describing wave propagation in polar coordinates by employing a multiscale analysis and perturbation method. Then, the Lie symmetries and conservation laws of the coupled Boussinesq equations are analyzed. Subsequently, by using the $(G^{\prime} /G)$-expansion method, the exact solutions of the (2+1)-dimensional coupled Boussinesq equations are obtained. Finally, the effects of coupling term coefficients on the propagation characteristics of Rossby waves are analyzed.

Key words: Rossby waves, (2+1)-dimensional coupled Boussinesq equations, two-layer cylindrical fluid

Zheyuan Yu,Zongguo Zhang,Hongwei Yang, Commun. Theor. Phys. 73 (2021) 115005.

Figures/Tables 2

References 31

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(2+1)-dimensional coupled Boussinesq equations for Rossby waves in two-layer cylindrical fluid^*

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