Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 1 1 2013 09 17 The Improved (G^’/G)-Expansion Method to the (3+1)-Dimensional Kadomstev-Petviashvili Equation 64 70 EN Hasibun Naher School of Mathematical Sciences, Universiti Sains Malaysia,Penang, Malaysia Farah Aini Abdullah AJAMS2013143 10.12691/ajams-1-4-3 2013 07 30 2013 09 16 2013 09 17 In this article, the improved (G^’/G)-expansion method has been implemented to generate travelling wave solutions, where G(ξ) satisfies the second order linear ordinary differential equation. To show the advantages of the method, the (3+1)-dimensional Kadomstev-Petviashvili (KP) equation has been investigated. Higher-dimensional nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation. Also, in order to understand the behaviour of solutions, the graphical representations of some obtained solutions have been presented.