Lie symmetry analysis of time fractional Burgers equation, Korteweg-de Vries equation and generalized reaction-diffusion equation with delays

被引：10
作者：
Yu, Jicheng [1 ,2 ]
机构：
[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430081, Hubei, Peoples R China
[2] Huangchuan 1 Senior High Sch, Huangchuan 465150, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2022年 / 19卷 / 14期
关键词：
Fractional Burgers equation; fractional Korteweg-de Vries equation; fractional reaction-diffusion equation; delay; Lie symmetry analysis; group-invariant solution; COMPLETE GROUP CLASSIFICATION; KLEIN-GORDON EQUATION; DIFFERENTIAL-EQUATIONS;
D O I：
10.1142/S021988782250219X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, Lie symmetry analysis method is applied to time fractional Burgers equation, Korteweg-de Vries equation and generalized reaction-diffusion equation with delays, respectively. The Lie symmetries for fractional partial differential equations with delays (DFPDEs) are obtained, and the group classifications of the equations are established. The obtained group generators are used to reduce the DFPDEs to fractional ordinary differential equations with delays (DFODEs). Some exact solutions constructed for the DFODEs generate group-invariant solutions of the discussed DFPDEs.
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页数：20
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