Analytical Solutions of Time Fractional Negative Order Kdv-Calogero-Bogoyavlenskii-Schiff Equation

Abstract

In this work, we obtain the exact solutions of negative-order forms for KDV-Calogero-Bogoyavlenskii-Schiff equation (nKdV-nCBS) with conformable fractional derivative by using exp(-phi(xi)) method. Chain rule and wave transform are used for transforming nonlinear fractional partial differential equation into nonlinear integer order ordinary differential equation. By this way, we don't need any normalization or reduction formulas which have complex calculation procedures. Moroever 3D graphical simulations are presented to show the geometrical behaviour of derived solutions.