Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the (G′/G, 1/G)-expansion method

In this paper, the two variables (G'/G, 1/G)-expansion method is applied to obtain new exact solutions with parameters of higher-dimensional nonlinear time-fractional differential equations (NTFDEs) in the sense of the conformable fractional derivative. To clarify the veracity of this method, it is implemented in nonlinear (2 + 1)-dimensional time-fractional biological population (BP) model and nonlinear (3 + 1)-dimensional KdV-Zakharov-Kuznetsov (KdV-ZK) equation with time-fractional derivative. When the parameters take some special values, the solitary and periodic solutions are obtained from the hyperbolic and trigonometric function solutions.