New Exact Solutions for the Variable Coefficient Two-Dimensional Burger Equation

In this paper, the variable coefficient two-dimensional Burger equation is studied by two distinct methods. The Exp-function method with the aid of symbolic computation is used to derive soliton solutions of this equation. The - expansion method is used also to construct travelling wave solutions for the variable coefficient two-dimensional Burger equation with the aid of symbolic computation. The travelling wave solutions are expressed by the hyperbolic, the trigonometric functions and rational functions. The study highlights the significant features of the employed methods and its capability of handling exact solutions for the variable coefficient two-dimensional Burger equation without any restrictions on the form of the variable coefficient. The obtained solutions are considered new with the comparison of other solutions obtained before.