New exact solutions for the conformable space-time fractional KdV, CDG, (2+1)-dimensional CBS and (2+1)-dimensional AKNS equations

摘要

In the present paper, G/G2 expansion method is applied to the space-time fractional third orderKorteweg-De Vries (KdV) equation, space-time fractional Caudrey-Dodd-Gibbon (CDG) equation,space-time fractional (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation andspace-time fractional (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation. Here,the fractional derivatives are described in conformable sense. The obtained traveling wavesolutions are expressed by the hyperbolic, trigonometric, exponential and rational functions.The graphs for some of these solutions have been presented by choosing suitable values ofparameters to visualize the mechanism of the given nonlinear fractional evolution equations.