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

^*Corresponding author for this work

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

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	229-230
Number of pages	2
Journal	Communications in Theoretical Physics
Volume	49
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/49/1/47
State	Published - 15 Jan 2008
Externally published	Yes

Keywords

Lie symmetry
Potential vorticity equation
Similarity reductions

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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.

KW - Lie symmetry

KW - Potential vorticity equation

KW - Similarity reductions

UR - https://www.scopus.com/pages/publications/38849162145

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

Abstract

Keywords

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