摘要
借助一致分数阶导数和行波变换,采用推广的Kudryashov方法对一类时空分数阶mCH方程进行了探讨,得到了方程的若干双曲函数形式精确解.同时,借助Matlab软件,对某些典型精确解进行计算机仿真,获得了典型精确解在指定参数下对应的三维图,让精确解更加直观.结果表明推广的Kudryashov方法对于求解分数阶方程有普适性.
With the help of conformable fractional derivative and traveling wave transformation,a kind of nonlinear time-fractional mCH equation is studied by the generalized Kudryashov method,and the solutions of some hyperbolic functions are obtained.Later,some typical exact solutions are simulated by Matlab software,and the corresponding threedimensional graphs of the typical exact solutions under the specified parameters are obtained,which makes the exact solutions more intuitionistic.The results show that the generalized Kudryashov method is universal for solving fractional order equations.
作者
陈兆蕙
阳平华
邓胜忠
CHEN Zhao-hui;YANG Ping-hua;DENG Sheng-zhong(School of Computer Engineering,Guangzhou City Institute of Technology,Guangzhou 510800,China;Dongguan Protronic Electronics Limited Compony,Dongguan 523000,China)
出处
《数学的实践与认识》
2021年第22期204-211,共8页
Mathematics in Practice and Theory
基金
广州市科技局基础及应用基础项目(202002030228)。
