Similarity Reductions of Barotropic and Quasi-geostrophic Potential Vorticity Equation

作     者：HUANGFei 

作者机构：LaboratoryofPhysicalOceanographyOceanUniversityofChinaQingdao266003China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2004年第42卷第6X期

页      面：903-908页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：国家自然科学基金 

主　　题：近似还原 旋涡势能方程 洛斯比波 孤波环 海洋大气动力学 

摘      要：The (2+1)-dimensional nonlinear barotropic and quasi-geostrophic potential vorticity equation without forcing and dissipation on a beta-plane channel is investigated by using the classical Lie symmetry approach. Some types of group-invariant wave solutions are expressed by means of the lower-dimensional similarity reduction equations. In addition to the known periodic Rossby wave solutions, some new types of exact solutions such as the ring solitary waves and the breaking soliton type of vorticity solutions with nonlinear and nonconstant shears are also obtained.