Application the method of Tan(F(ξ)/2) expansion to the (3+1)-dimensional generalized kadomtsev petviashvili and Jimbo- Miwa equations

This work is made up of the five sections. In section one, literature review is done. In section two, we describe and show some basic definitions that are must be in this study. In section three, we going to show the general structures of the Tan(F(ξ)/2) -expansion method. We apply the Tan(F(ξ)/2)-expansion method to the (3+1)-dimensional generalized KP and Jimbo-Miwa equations. We obtain a new solution to these equations like rational function solutions, exponential function, hyperbolic function and trigonometric function. We carry out all the computations in this study with the Wolfram Mathematica 9. In chapter four, we present the two- and three-dimensional graphics of some obtained solutions plotted by using the same program in the Wolfram Mathematica 9. In chapter five, we give a comprehensive conclusion to this study.