Symbolic computation, soliton solutions and 3d- plotting of KP- (2+1) dimentional non-linear evolution equation

Nonlinear evolution wave equations (NEEs) are partial differential equations (PDEs) involving first or second order derivatives with respect to time. Such equations have been intensively studied for the past few decades [1-3] and several new methods to solve nonlinear PDEs either numerically or analytically are now available. Hirota's bilinear method is a powerful tool for obtaining a wide class of exact solutions of soliton equations. In this paper, we have used symbolic manipulation packages mathematica to find soliton and multi soliton solutions of KP equation [4]. The program file hirota.m in the software package is used to test for the existence of solitary wave and soliton solutions of non-linear partial differential equations of bilinear form. It also explicitely construct one, two and threesoliton solutions of well known partial differential equations via Hirota's method [5-8]. Hirota's method allows one to construct exact soliton solutions of nonlinear evolution equation and wave equations, provided the equations can be brought in bilinear form.