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Exploring the conformable time-fractional (3 + 1)- dimensional modi fied Korteweg-de Vries- Zakharov- Kuznetsov equation via three integration schemes
Ahmet Bekir,Asim Zafar
Keywords:Conformable derivative; time-fractional modified Kdv-Zakharov-Kuznetsov equation; Exact solutions.
      In this paper, the nonlinear conformable time-fractional (3 + 1)-dimensional modified KdV-Zakharov-Kuznetsov equation is being explored using three well-established integration schemes named as: the expζ function method, the hyperbolic function and modified Kudryashov schemes. In returns, many new exact solitary wave solutions, including rational, dark, singular and combined dark-singular solitons, are obtained and have been compared with those given in the literature. Moreover, the obtained solutions are demonstrated by 2D and 3D graphs for suitable values of the parameters to observe the dynamical behavior of the secured solutions.