Symmetries, Symmetry Reductions and Exact Solutions to the Generalized Nonlinear Fractional Wave Equations

被引：1

作者：

刘汉泽

王增桂

辛祥鹏

刘希强

机构：

[1] SchoolofMathematicalSciences,LiaochengUniversity

来源：

CommunicationsinTheoreticalPhysics | 2018年 / 70卷 / 07期

关键词：

fractional differential equation; Riemann-Liouville derivative; Lie group classification; Erdélyi-Kober fractional operator; symmetry reduction; exact solution;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, the Lie group classification method is performed on the fractional partial differential equation(FPDE), all of the point symmetries of the FPDEs are obtained. Then, the symmetry reductions and exact solutions to the fractional equations are presented, the compatibility of the symmetry analysis for the fractional and integer-order cases is verified. Especially, we reduce the FPDEs to the fractional ordinary differential equations(FODEs) in terms of the Erd′elyi-Kober(E-K) fractional operator method, and extend the power series method for investigating exact solutions to the FPDEs.

引用

页码：14 / 18

页数：5