A GROUP APPROACH TO EXACT SOLUTIONS AND CONSERVATION LAWS OF BURGER'S EQUATION

A classical Burger’s equation is studied by symmetry analysis. The Lie point symmetries con- structed are applied in symmetry reductions and the resulting reduced systems investigated for exact group-invariant solutions. We also construct solitons using symmetry span of space and time translations. Finally, we prove that Burgers equation is a conservation law by the multiplier technique