摘要
利用改进的CK方法和经典李群方法得到了方程KP的两类对称,我们也得到了方程新旧解之间的关系.并得出利用利群方法获得的对称利用CK方法也可以得到.最后利用求得的对称我们获得了方程的相似约化和一些精确解.
Two types of symmetry of the modified KP equation are obtained via the modified direct method and the classical Lie method of infinitesimals,we restrict a condition and get a relationship between the new solutions and the old ones.Applying the given Lie symmetry,we find some similarity reductions and many new exact solutions.
出处
《聊城大学学报（自然科学版）》
2009年第3期9-13,25,共6页
Journal of Liaocheng University:Natural Science Edition
基金
山东省自然科学基金资助项目(No .2008A35)
关键词
修正的KP方程
改进的CK方法
经典李群方法
精确解
the modified KP equation
the modified direct method
classical Lie method of infinitesimals
exact solution
