• Traveling-wave solutions of the Klein–Gordon equations with M-fractional derivative

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/096/0026

• # Keywords

Travelling wave solutions; M-fractional derivative; solitons.

• # Abstract

Based on two algorithm integrations, such as the exp(−$\phi$(ξ))-expansion method and the hyperbolic function method, we build dark, bright and trigonometric function solution to the Klein–Gordon equations with M-fractional derivative of order α. By adopting the travelling-wave transformation, the constraint condition between the model coefficients and the travelling-wave frequency coefficient for the existence of soliton solutions is also obtained. Moreover, miscellaneous soliton solutions obtained is depicted in 3D and 2D.

• # Author Affiliations

1. Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon
2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran
3. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030 Eskisehir, Turkey
4. Department of Physics, Faculty of Science, The University of Ngaoundere, Ngaoundere, Cameroon

• # Pramana – Journal of Physics

Volume 97, 2023
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019