A Note on Similarity Reductions of Barotropic and Quasi-geostrophic Potential Vorticity Equation  

作　　者：TANG Xiao-Yan Padma Kant Shukla 

机构地区：[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China [2]Institut fur Theoretische Physik IV, Fakultat fur Physik und Astronomie, Ruhr-Universitat Bochum, D-44870 Bochum, Germany [3]School of Physics, University of KwaZulu-Natal, 4000 Durban, South Africa

出　　处：《Communications in Theoretical Physics》2008年第1期229-230,共2页理论物理通讯（英文版）

基　　金：The project supported by the Alexander von Humboldt Foundation;the Youth Foundation of Shanghai Jiao Tong University;National Natural Science Foundation of China under Grant No.10475055

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.

关 键 词：Lie symmetry similarity reductions potential vorticity equation 

分 类 号：O411.1[理学—理论物理]