The Explicit Solutions Of Two Soliton Equations

In this paper, we research the explicit solutions of two nonlinear evolution equations. First, we consider a new soliton equation and give its Darboux transformation. Then, from a trivial seed u = 0, v = 1, we use the Darboux transformation to get explicit solutions of the Soliton equation and discuss the first two cases (N = 1 and N = 2). Second, we consider a KP equation in (3+1)-dimensions, from calling logarithmic transformation and using bilinear derivative methods, we get N-soliton solutions of the KP equation and give its wronskian solutions.