A note on similarity reductions of barotropic and quasi-geostrophic potential vorticity equation

Xiao Yan Tang; Padma Kant Shukla

doi:10.1088/0253-6102/49/1/47

A note on similarity reductions of barotropic and quasi-geostrophic potential vorticity equation

Xiao Yan Tang^*
, Padma Kant Shukla

^*此作品的通讯作者

Shanghai Jiao Tong University
Ruhr University Bochum
University of KwaZulu-Natal

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

Applying the classical Lie symmetry approach to the barotropic and quasi-geostrophic potential vorticity equation without forcing and dissipation on a β-plane channel, we find a new symmetry, which is not presented in a previous work [F. Huang, Commun. Theor. Phys. (Beijing, China) 42 (2004) 903]. A general finite transformation group is obtained based on the full Lie point symmetry. Furthermore, two new types of similarity reduction solutions are obtained.

源语言	英语
页（从-至）	229-230
页数	2
期刊	Communications in Theoretical Physics
卷	49
期	1
DOI	https://doi.org/10.1088/0253-6102/49/1/47
出版状态	已出版 - 15 1月 2008
已对外发布	是

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N2 - Applying the classical Lie symmetry approach to the barotropic and quasi-geostrophic potential vorticity equation without forcing and dissipation on a β-plane channel, we find a new symmetry, which is not presented in a previous work [F. Huang, Commun. Theor. Phys. (Beijing, China) 42 (2004) 903]. A general finite transformation group is obtained based on the full Lie point symmetry. Furthermore, two new types of similarity reduction solutions are obtained.

AB - Applying the classical Lie symmetry approach to the barotropic and quasi-geostrophic potential vorticity equation without forcing and dissipation on a β-plane channel, we find a new symmetry, which is not presented in a previous work [F. Huang, Commun. Theor. Phys. (Beijing, China) 42 (2004) 903]. A general finite transformation group is obtained based on the full Lie point symmetry. Furthermore, two new types of similarity reduction solutions are obtained.

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KW - Potential vorticity equation

KW - Similarity reductions

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A note on similarity reductions of barotropic and quasi-geostrophic potential vorticity equation

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