A Note on Similarity Reductions of Barotropic and Quasi-geostrophic Potential Vorticity Equation |
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| Authors: | TANG Xiao-Yan Padma Kant Shukla |
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| Affiliation: | 1. Department of Physics, Shanghai Jiao Tong University,Shanghai 200240, China;2. Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44870 Bochum, Germany;3. School of Physics, University of KwaZulu-Natal, 4000 Durban, South Africa |
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| Abstract: | Applying the classical Lie symmetry approach to the barotropicand quasi-geostrophic potential vorticity equation without forcing anddissipation on a β-plane channel, we find a new symmetry, whichis 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 solutionsare obtained. |
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| Keywords: | Lie symmetry similarity reductions potential vorticity equation |
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