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-  2015 

(2+1)维Caudrey-Dodd-Gibbon方程相似、约化、精确解
Symmetry, reductions and exact solutions of the (2+1)-dimension Caudrey-Dodd-Gibbon equation

DOI: 10.6040/j.issn.1671-9352.0.2014.175

Keywords: (2+1)维CDG方程,精确解,对称,约化,李群方法,
exact solutions
,symmetry,reduction,(2+1)-dimension CDG equation,classical Lie group method

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Abstract:

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.
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

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