时间分数阶Cahn-Allen方程的李对称解  

Lie symmetries solutions for time fractional Cahn-Allen equation

作　　者：李文婷[1] 刘丹 蒋鲲[1] LI Wanting;LIU Dan;JIANG Kun(School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2019年第6期668-671,共4页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the Natural Science Foundation of Heilongjiang Province (HDRCCX-201615)。

摘　　要：利用Lie对称群方法对时间分数阶Cahn-Allen方程进行了研究,得到了一些Lie对称研究的应用之一。得到了该方程的二阶扩展形式,计算出了对应的向量场。最后,通过应用向量场,对应的约化方程被得到。The research of time fractional Cahn-Allen equation are done by the Lie group analysis and some Lie symmetries of the equation are obtained.The Lie symmetry analysis is studied for time fractional Cahn-Allen equation that is one of the applications of symmetries.First,we obtain the two order exten¬sion of the equation,and then we compute the vector field corresponding to it.Finally,we obtain a re¬duced equation by using the vector field.

关 键 词：时间分数Cahn-Allen方程 李对称 分数李群方法 

分 类 号：O175.75[理学—数学]