In this work, we adopt the generalized Kudryashov method to produce exact wave solutions for some space-time fractional partial differential equations. The Jumaries modified Riemann-Liouville is considered. The proposed method is implemented to the fractional Sharma-Tasso-Olver equation and the fractional Bogoyavlenskii’s breaking soliton equations. Various solutions containing hyperbolic tangent function, trigonometric tangent function and exponential functions are obtained by this method. Simulations of some obtained solutions are given at the end of the paper.

中文翻译：

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分数次Sharma-Tasso-Olver方程和分数Bogoyavlenskii破裂孤子方程的精确解

在这项工作中，我们采用广义的Kudryashov方法为某些时空分数阶偏微分方程产生精确的波动解。考虑了Jumaries修改后的Riemann-Liouville。该方法适用于分数阶Sharma-Tasso-Olver方程和分数阶Bogoyavlenskii的破坏孤子方程。通过该方法可以得到包含双曲正切函数，三角正切函数和指数函数的各种解。本文结尾给出了一些获得的解决方案的仿真。