%0 Journal Article
%T Application of Jacobi elliptic functions in the atmospheric and oceanic dynamics: studies on two-dimensional nonlinear Rossby waves<br>雅可比椭圆函数在大气和海洋动力学中的应用:二维非线性Rossby波研究
%A ZHAO Qiang
%A LIU Ski- Kuo
%A <br>赵强
%A 刘式适
%J 地球物理学报
%D 2006
%I 
%X The two-dimensional(2-D) nonlinear Rossby waves described by the Petviashvili equation,which has been invoked as an ageostrophic extension of the barotropic quasi-geostrophic potential vorticity equation,can be studied by the exact periodic-wave solutions for the Petviashvili equation.The exact analytical periodic-wave solutions to the Petviashvili equation are obtained by using our extended generalization of Jacobi elliptic function expansion method.It is shown that more periodic-wave 2-D Rossby solutions can be obtained by this method.In the limit case,the 2-D Rossby soliton solutions can also be obtained.
%K Petviashvili equation
%K Jacobi elliptic function
%K Rossby wave<br>Petviashvili方程
%K 雅可比椭圆函数
%K Rossby波
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=D8487CAD729C6E7B&yid=37904DC365DD7266&vid=2A3781E88AB1776F&iid=E158A972A605785F&sid=78AF84DBB4041008&eid=714E16F7CF56F343&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=0&reference_num=26