论文标题

使用某些方法,具有立方非线性的空间时间分数klein-gordon方程的精确解决方案

Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods

论文作者

Ozkan, Ayten, Ozkan, Erdogan Mehmet

论文摘要

最近,找到非线性分数微分方程的确切解决方案引起了极大的兴趣。在本文中,检查了具有立方非线性的空间时间分数klein-gordon方程。首先,使用孤立波Ansatz方法正式扩展了合适的精确孤子溶液。计算机仿真还说明了一些解决方案。此外,修改后的Kudryashov方法用于构建该方程的精确解。

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.

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