耦合的Ramani方程组的对称约化和精确解

摘要

Using the modified CK＇s direct method,we build the relationship between new solutions and old ones and find some new exact solutions to the coupled Ramani equation,which include Exponential function solutions,trigonometric function solutions and so on.Based on the invariant group theory,Lie point symmetry groups and Lie algebra of the coupled Ramani equation are obtained.%通过利用修正的CK直接方法,找到了耦合的Ramani方程组的新旧解之间的关系.另外,利用对称约化得到了若干新的精确解包括指数函数解,三角函数解等.基于不变群理论,得到了耦合的Ramani方程组的李点对称和李代数.