LAUSR

The solutions of nonlinear differential equations are an essential tool for many physical and engineering applications. There are many methods to solve nonlinear partial differential equations (PDEs) such as the Weierstrass function method [1], Jacobi elliptic function method [2, 3], Hirota bilinear method [4], the inverse scattering method [5], the tanh method [6], the extended mapping transformation method [7], the truncated expansion method [8], the simplest equation method [9], the bifurcation method [10] and Lie symmetry method [11–14]. The latter is considered as the most powerful method for getting exact solutions of PDEs. In this paper, we use the Lie symmetry method to investigate the (2+1)dimensional Burgers equations [15]