Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods
Exactly Solvable and Integrable Systems
2020-06-11 v3
Abstract
Recently, finding exact solutions of nonlinear fractional differential equations has attracted great interest. In this paper, the space time-fractional Klein-Gordon equation with cubic nonlinearities is examined. Firstly, suitable exact soliton solutions are formally extacted by using the solitary wave ansatz method. Some solutions are also illustrated by the computer simulations. Besides, the modified Kudryashov method is used to construct exact solutions of this equation.
Keywords
Cite
@article{arxiv.2006.00832,
title = {Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods},
author = {Ayten Ozkan and Erdogan Mehmet Ozkan},
journal= {arXiv preprint arXiv:2006.00832},
year = {2020}
}
Comments
12 pages, 12 figures