An application of Lie point symmetries in the study of a classical potential Burger’s equation

A classical potential Burger’s equation is studied by Lie group analysis. The constructed Lie point symmetries are used to perform symmetry reductions of the potential burgers equation and the resulting reduced ordinary differential equation systems investigated for exact group-invariant solutions. Solitons have also been constructed using symmetry span of space and time translations. Finally, two conserved quantities are derived by multiplier approach for the model.