Lie group analysis of two-dimensional variable-coefficient Potential Burgers equation

R. Balapriya; R. Asokan; S. Padmasekaran

R. Balapriya Department of Mathematics, Jeppiaar Engineering College, Jeppiaar Nagar, Chennai, India.
R. Asokan Department of Mathematics, Madurai Kamaraj University, Madurai, India.
S. Padmasekaran Department of Mathematics, Periyar University, Salem, India.

Keywords: A variable coefficient Potential Burgers Equation, Symmetry algebra, Conjugacy class

Abstract

The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Potential Burgers equations. The group classification of this class is performed. We determine the one- and two-dimensional subalgebras of the symmetry algebra which is infinite-dimensional into conjugacy classes under the adjoint action of the symmetry group. Classification of its symmetry algebra into one- and two-dimensional sub-algebras are carried out in order to facilitate its reduction systematically to (1+1)-dimensional PDEs and then to first or second order ODEs.

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