Preprint Article Version 1 This version is not peer-reviewed

Hyperbolic Tangent Ansatz Method to Space Time Fractional Modified KdV, Modified EW and Benney–Luke Equations

Version 1 : Received: 21 February 2018 / Approved: 22 February 2018 / Online: 22 February 2018 (10:45:02 CET)

How to cite: Ersoy Hepson, O. Hyperbolic Tangent Ansatz Method to Space Time Fractional Modified KdV, Modified EW and Benney–Luke Equations. Preprints 2018, 2018020141 (doi: 10.20944/preprints201802.0141.v1). Ersoy Hepson, O. Hyperbolic Tangent Ansatz Method to Space Time Fractional Modified KdV, Modified EW and Benney–Luke Equations. Preprints 2018, 2018020141 (doi: 10.20944/preprints201802.0141.v1).

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.

Subject Areas

Ansatz method; fractional modified Korteweg–de Vries Equation; fractional modified Equal Width Equation; fractional Benney–Luke Equation; Conformable fractional derivative

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