Exact Solutions Of Two Multi-dimensional Nonlinear Evolution Equations

This letter mainly studies the exact solutions of two nonlinear evolution equations.Via Hirota bilinear method and perturbation technique,an N-soliton solution with a parameter p for a(3+1)-dimensional nonlinear evolution equation is obtained.Then two N-soliton solutions in terms of Wronsky determinant are also presented in the case of p = 1 and p = 3.And also,with the help of Wronsky technique,a Wronsky determinant solution of a(2+1)-dimensional variable-coefficient Kadomtsev–Petviashvili(KP)equation is derived.