Diversity of exact solutions to the conformable space–time fractional MEW equation

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Abstract

This paper utilizes ansatz method to find bright and dark solutions of the conformable space–time fractional modified equal width wave (MEW) equation. In addition, a fractional novel (GG)-expansion method is used to look for periodic solutions, dark solutions, soliton solutions and soliton-like solutions of the space–time fractional MEW equation for the first time. Meanwhile, some solutions are presented through graphs The obtained results show that the two methods are suitable and more powerful for solving other kinds of nonlinear fractional differential equations.

Keywords

Exact solutions
Ansatz method
Improved (GG)-expansion method
Conformable space–time fractional MEW equation

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