Eur. Phys. J. Plus (2017) 132: 350
https://doi.org/10.1140/epjp/i2017-11619-1

Regular Article

On the new hyperbolic and trigonometric structures to the simplified MCH and SRLW equations

¹ Firat University, Department of Mathematics, Elazig, Turkey
² Yuzuncu Yil University, Department of Mathematics, Van, Turkey
³ Munzur University, Department of Computer Engineering, Tunceli, Turkey

^* e-mail: mtukur74@yahoo.com

Received: 2 June 2017
Accepted: 30 June 2017
Published online: 11 August 2017

Abstract

With the aid of the Wolfram Mathematica software, the powerful sine-Gordon expansion method is used in constructing some new solutions to the two well-known nonlinear models, namely, the simplified modified Camassa-Holm and symmetric regularized long-wave equations. We obtain some novel complex, trigonometric and hyperbolic function solutions to these two equations. We also plot the three-dimensional and two-dimensional graphics for each solutions obtained using the same programming code in Wolfram Mathematica software. Finally, we submit a comprehensive conclusions.