Symmetries of 2+1-dimensional variable coefficient Burgers equations

2013/11/03 by Güngör, F., Özemir, C.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1311.0450

Abstract

We consider a class of variable coefficient Burgers equations in 2+1 dimensions and make use of their equivalence group to give a complete symmetry classification up to equivalence. Equivalence group is also applied to pick out the most general equation transformable to its constant coefficient form. The infinite-dimensional symmetry is used to transform the equation to a one-dimensional one.

Related

• Symmetry Analysis of 2+1 dimensional Burgers equation with variable damping
• Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation
• Extended symmetry analysis of generalized Burgers equations
• Residual Symmetry Reductions and Interaction Solutions of (2+1)-Dimensional Burgers Equation
• Symmetry Classification and Exact Solutions of a Variable Coefficient Nonlinear Space-Time Fractional Burgers' Equation