Bcklund Transformations and Explicit Solutions of (2+1)-Dimensional Barotropic and Quasi-Geostrophic Potential Vorticity Equation  

作　　者：胡晓瑞 陈勇 

机构地区：[1]Shanghai Key Laboratory of Trustworthy Computing, East China Normal University [2]Nonlinear Science Center and Department of Mathematics, Ningbo University

出　　处：《Communications in Theoretical Physics》2010年第5期803-808,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos. 10735030, 90718041, and 40975038;Shanghai Leading Academic Discipline Project under Grant No. B412;Program for Changjiang Scholars and Innovative Research Team in University (IRT0734)

摘　　要：By the Backlund transformation method, an important （2＋1）-dimensional nonlinear barotropie and quasigeostrophic potential vorticity （BQGPV） equation is investigated. Some simple special Backlund transformation theorems are proposed and used to get explicit solutions of the BQGPV equation. Furthermore, all solutions of a second order linear ordinary differential equation including an arbitrary function can be used to construct explicit solutions of the （2＋1）-dimensional BQGPV equation. Some figures are also given out to describe these solutions.

关 键 词：Backlund transformation （2＋ 1）-dimensional nonlinear barotropic and quasi-geostrophic potential vorticity equation explicit solution 

分 类 号：O241.8[理学—计算数学]