Applied Mathematics and Mechanics >
Symmetry analysis of modified 2D Burgers vortex equation for unsteady case
Received date: 2016-03-03
Revised date: 2016-08-06
Online published: 2017-03-01
Supported by
Project supported by the National Natural Science Foundation of China (No. 11571008)
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).
Lihua LIU, Chaolu TEMUER . Symmetry analysis of modified 2D Burgers vortex equation for unsteady case[J]. Applied Mathematics and Mechanics, 2017 , 38(3) : 453 -468 . DOI: 10.1007/s10483-017-2180-8
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