Symmetry analysis of modified 2D Burgers vortex equation for unsteady case

doi:10.1007/s10483-017-2180-8

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (3): 453-468.doi: https://doi.org/10.1007/s10483-017-2180-8

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Symmetry analysis of modified 2D Burgers vortex equation for unsteady case

Lihua LIU¹, Chaolu TEMUER²

1. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China;
2. College of Arts and Sciences, Shanghai Maritime University, Shanghai 200135, China

Received:2016-03-03 Revised:2016-08-06 Online:2017-03-01 Published:2017-03-01
Contact: Chaolu TEMUER E-mail:tmchaolu@shmtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11571008)

Abstract

Abstract:

In this paper, a symmetry analysis of the modified 2D Burgers vortex equation with a flow parameter is presented. A general form of classical and non-classical symmetries of the equation is derived. These are fundamental tools for obtaining exact solutions to the equation. In several physical cases of the parameter, the specific classical and non-classical symmetries of the equation are then obtained. In addition to rediscovering the existing solutions given by different methods, some new exact solutions are obtained with the symmetry method, showing that the symmetry method is powerful and more general for solving partial differential equations (PDEs).

Key words: classical symmetry, non-classical symmetry, Burgers vortex equation, exact solutions

2010 MSC Number:

Lihua LIU, Chaolu TEMUER. Symmetry analysis of modified 2D Burgers vortex equation for unsteady case. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 453-468.

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Symmetry analysis of modified 2D Burgers vortex equation for unsteady case

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