Preprint Article Version 1 This version is not peer-reviewed

Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class

Version 1 : Received: 25 December 2017 / Approved: 26 December 2017 / Online: 26 December 2017 (04:50:06 CET)

How to cite: Korkmaz, A.; Ersoy Hepson, O.; Hosseini, K.; Rezazadeh, H.; Eslami, M. Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class. Preprints 2017, 2017120183 (doi: 10.20944/preprints201712.0183.v1). Korkmaz, A.; Ersoy Hepson, O.; Hosseini, K.; Rezazadeh, H.; Eslami, M. Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class. Preprints 2017, 2017120183 (doi: 10.20944/preprints201712.0183.v1).

Abstract

The Sine-Gordon expansion method is implemented to construct exact solutions some conformable time fractional equations in Regularized Long Wave(RLW)-class. Compatible wave transform reduces the governing equation to classical ordinary differential equation. The homogeneous balance procedure gives the order of the predicted polynomial-type solution that is inspired from well-known Sine-Gordon equation. The substitution of this solution follows the previous step. Equating the coefficients of the powers of predicted solution leads a system of algebraic equations. The solution of resultant system for coefficients gives the necessary relations among the parameters and the coefficients to be able construct the solutions. Some solutions are simulated for some particular choices of parameters.

Subject Areas

Sine-Gordon Expansion Method; conformable time fractional RLW equation; conformable time fractional modified RLW equation; conformable time fractional symmetric-RLW equation

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