The Exact Solutions Of Three Nonlinear Fractional Partial Differential Equations

Nonlinear fractional partial differential equations are one kind of important mathematical model widely used in science and engineering,and it can better describe these physical phenomena with temporal memory and spatial interaction.Studying the exact solu-tions of nonlinear fractional partial differential equations is of great help in understanding these complex physical phenomena and dynamic processes.This paper is based on the definition of the conformable fractional derivative and its related properties,combining with fraction-al complex transformations,transforming fractional partial differential equations into integer ordinary differential equations.Then by introducing a new auxiliary equation,the extend-ed(G'/G)-expansion method is used to construct the exact solutions of space-time fraction-al mBBM equation,space-time fractional Equal-width equation and time-fractional coupled Drinfell'd-Sokolov-Wilson equations.In the solving process,a series of new solutions are ob-tained by symbolic calculation of Maple software,including hyperbolic function solutions,trigonometric function solutions and rational function solutions.Combined the drawing func-tion of Maple software,three-dimensional graphics corresponding to the exact solutions are drawn.It is helpful for us to study the nonlinear fractional partial differential equations and their practical significance more deeply.