Preprint
Article
Hyperbolic Tangent Ansatz Method to Space Time Fractional Modified KdV, Modified EW and Benney–Luke Equations
This version is not peer-reviewed.
Submitted:
21 February 2018
Posted:
22 February 2018
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Abstract
The space time fractional Korteweg-de Vries equation, modified Equal Width equation and Benney-Luke Equations are solved by using simple hyperbolic tangent Ansatz method. A simple compatible wave transformation in one dimension is employed to reduce the governing equations to integer ordered ODEs. Then, the ansatz approximation is used to derive exact solutions. Some illustrative examples are presented for some particular choices of parameters and derivative orders.
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Computer Science and Mathematics - MathematicsCopyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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