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
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017
