用某些方法求具有立方非线性项的时空分数阶Klein-Gordon方程的精确解
Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods
摘要：
近年来，求解非线性分数阶微分方程的精确解引起了人们极大的兴趣。本文研究了具有立方非线性项的时空分数阶Klein-Gordon方程。首先，利用孤立波分析方法，形式化地求出了合适的精确孤子解。并通过计算机仿真给出了一些解决方案。此外，还利用修正的Kudryashov方法构造了该方程的精确解.
英文摘要：
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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