Title of article
Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods
Author/Authors
Ozkan, Ayten Yildiz Technical University - Department of Mathematics, Istanbul, Turkey , Mehmet Ozkan, Erdogan Yildiz Technical University - Department of Mathematics, Istanbul, Turkey
Pages
12
From page
674
To page
685
Abstract
Recently, finding exact solutions of nonlinear fractional differential equations has attracted great interest. In this work, the space time-fractional Klein-Gordon equation with cubic nonlinearities is examined. Firstly, suitable exact soliton solutions are formally extracted 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
Exact solution , Modified Kudryashov method , Ansatz method , Space time fractional Klein-Gordon equation
Journal title
Computational Methods for Differential Equations
Serial Year
2022
Record number
2720864
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