Symmetry operators and exact solutions of a type of time-fractional Burgers–KdV equation

Author:

Naderifard Azadeh1,Hejazi S. Reza1,Dastranj Elham1ORCID,Motamednezhad Ahmad1

Affiliation:

1. Department of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran

Abstract

In this paper, group analysis of the fourth-order time-fractional Burgers–Korteweg–de Vries (KdV) equation is considered. Geometric vector fields of Lie point symmetries of the equation are investigated and the corresponding optimal system is found. Similarity solutions of the equation are presented by using the obtained optimal system. Finally, a useful method called invariant subspaces is applied in order to find another solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation;International Journal of Geometric Methods in Modern Physics;2023-05-23

2. Solitary wave solutions of mKdV–Calogero–Bogoyavlenskii–Schiff equation by using Lie symmetry analysis;International Journal of Geometric Methods in Modern Physics;2020-12-26

3. Lie symmetry analysis and conservation laws for the time fractional Black–Scholes equation;International Journal of Geometric Methods in Modern Physics;2019-12-30

4. Lie symmetry reductions and dynamics of solitary wave solutions of breaking soliton equation;International Journal of Geometric Methods in Modern Physics;2019-07

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