%0 Journal Article
%T (2+1)维Caudrey-Dodd-Gibbon方程相似、约化、精确解<br>Symmetry, reductions and exact solutions of the (2+1)-dimension Caudrey-Dodd-Gibbon equation
%A 刘勇
%A 刘希强&lt
%A br&gt
%A LIU Yong
%A LIU Xi-qiang
%J 山东大学学报（理学版）
%D 2015
%R 10.6040/j.issn.1671-9352.0.2014.175
%X 摘要： 利用经典李群法得到了(2+1)维Caudrey-Dodd-Gibbon(简称CDG)方程的对称、约化, 并通过解约化方程得到了该方程的一些精确解, 其中包括有理函数解, 双曲函数解, 三角函数解,Jacobi椭圆函数解.<br>Abstract: Using the classical Lie group method, we find the classical symmetry and reductions of (2+1)-dimensional Caudrey-Dodd-Gibbon(CDG for short) equation. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions, hyperbolic functions, trigonometric functions, and Jacobi elliptic function solutions
%K (2+1)维CDG方程
%K 精确解
%K 对称
%K 约化
%K 李群方法
%K &lt
%K br&gt
%K exact solutions
%K symmetry
%K reduction
%K (2+1)-dimension CDG equation
%K classical Lie group method
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.175