Extended exp (-φ (ξ))-expansion method for some exact solutions of (2+1) and (3+1)-dimensional constant coefficients KdV equations

Abstract

We gained some exact solutions of the (2+1)- and (3+1)-dimensional constant coefficients KdV equations by using extended exp(−φ(ξ))-expansion method. These solutions we gained are hyperbolic, trigonometric, exponential and rational solutions. In addition, we provided both two-dimensional and three-dimensional graphics of the solutions we found in −10≤x≤10 and −1≤x≤1 intervals. Then, we observed, via Mathematica 11.2, that the solutions prove the equations. This method has been used for obtaining exact travelling wave solutions of nonlinear partial differential equations (NLPDEs).