标题：Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the ( G ′ G , 1 G ) $( rac{G'}{G}, rac{1}{G} ) $ -expansion method
摘要：In this paper, the two variables ( G ′ G , 1 G ) $( rac{G'}{G}, rac){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 ) $(2+1)$ -dimensional time-fractional biological population (BP) model and nonlinear ( 3 + 1 ) $(3+1)$ -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.
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