%0 Journal Article
%T New type infinite sequence exact solutions of the second KdV equation with variable coefficients<br>第二类变系数KdV方程的新类型无穷序列精确解
%A Taogetusang
%A Bai Yu-Mei
%A <br>套格图桑
%A 白玉梅
%J 物理学报
%D 2012
%I 
%X To construct a number of new infinite sequence exact solutions of nonlinear evolution equations and to study the two characteristics of constructivity and mechanicalness of the first kind of elliptic equation, new types of solutions and the corresponding B cklund transformation of the equation are presented. Then the second kind of KdV equation with variable coefficients is chosen as a practical example and three kinds of new infinite sequence exact solutions are obtained with the help of symbolic computation system Mathematica, where are included the smooth soliton-like solutions, the infinite sequence peak soliton solutions, and the infinite sequence compact soliton solutions. The method can be used to search for new infinite sequence exact solutions of other nonlinear evolution equations with variable coefficients.
%K the first kind of elliptic equation
%K B cklund transformation
%K nonlinear evolution equation with variable coefficients
%K new infinite sequence exact solutions<br>第一种椭圆辅助方程
%K B cklund
%K 变换
%K 变系数非线性发展方程
%K 无穷序列新精确解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=790A9358A1C1D6552E8711D95519DC93&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=B31275AF3241DB2D&sid=5EE3D15C5287E4BD&eid=5EE3D15C5287E4BD&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=42