Abstract
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.