APPLICATION OF NEW GENERALIZED (G′/G)-EXPANSION METHOD TO THE (3 + 1)-DIMENSIONAL KADOMTSEV-PETVIASHVILI EQUATION

Abstract

In this research article, seeking parameters dependent exact solutions, we implement the new generalized (G′/G)-expansion to the (3 + 1)-dimensional Kadomtsev-Petviashvili equation.  The traveling wave solutions are expressed in terms of the hyperbolic functions, trigonometric functions, as well as rational functions.  Herein, established is therefore the fact that the new generalized (G′/G)-expansion method offers an efficient and influential mathematical tool for constructing exact solutions of nonlinear evolution equations (NLEEs).  In mathematical physics, finding the exact solutions of NLEEs reveals the salient features of the inner mechanism of possibly hidden complex physical phenomena, modeled by the given equations.  In consequence to our current work and setup, not only does the new method appear to be straightforward and user-friendly, but also, it turns out easily implementable by computer programmed and symbolic algebra packages, yielding fast, albeit accurate results.