Nonclassical Lie symmetry and conservation laws of the nonlinear timefractional Korteweg–de Vries equation  

作　　者：Mir Sajjad Hashemi Ali Haji-Badali Farzaneh Alizadeh Mustafa Inc 

机构地区：[1]Department of Mathematics,Basic Science Faculty,University of Bonab,Bonab,Box 55513-95133,Iran [2]Department of Computer Engineering,Biruni University,Istanbul,Turkey [3]Department of Mathematics,Science Faculty,Firat University,23119 Elazig,Turkey [4]Department of Medical Research,China Medical University Hospital,China Medical University,Taichung,Taiwan,China

出　　处：《Communications in Theoretical Physics》2021年第9期59-67,共9页理论物理通讯（英文版）

摘　　要：In this paper,we use the symmetry of the Lie group analysis as one of the powerful tools that deals with the wide class of fractional order differential equations in the Riemann–Liouville concept.In this study,first,we employ the classical and nonclassical Lie symmetries(LS)to acquire similarity reductions of the nonlinear fractional far field Korteweg–de Vries(KdV)equation,and second,we find the related exact solutions for the derived generators.Finally,according to the LS generators acquired,we construct conservation laws for related classical and nonclassical vector fields of the fractional far field KdV equation.

关 键 词：fractional equation Lie symmetry analysis classical and non-classical symmetries 

分 类 号：O175[理学—数学]