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. Preprints2017, 2017120183. https://doi.org/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. https://doi.org/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. Preprints2017, 2017120183. https://doi.org/10.20944/preprints201712.0183.v1
APA Style
Korkmaz, A., Ersoy Hepson, O., Hosseini, K., Rezazadeh, H., & Eslami, M. (2017). Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class. Preprints. https://doi.org/10.20944/preprints201712.0183.v1
Chicago/Turabian Style
Korkmaz, A., Hadi Rezazadeh and Mostafa Eslami. 2017 "Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class" Preprints. https://doi.org/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.
Keywords
Sine-Gordon Expansion Method; conformable time fractional RLW equation; conformable time fractional modified RLW equation; conformable time fractional symmetric-RLW equation
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.