利用广义的双曲正切-余切方法对非线性的分数阶Cahn-Allen方程进行了研究.该方法通过一个分数型的实行波变换将分数阶的偏微分方程转化为常微分方程,然后将常微分方程的求解转化为对应系数满足满足一定条件的代数方程的求解.借助Mathematica软件求出了非线性分数阶Cahn-Allen方程的行波解.最后的数值结果表明方法的有效性.%The main purpose of this paper is to solve nonlinear fractional Cahn-Allen Equation by generalized tanh-coth method. In this paper,the fractional partial differential equation was transformed to an ordinary differential by using a real fractional traveling wave transformation,then the ODE was solved by solving a sort of algebraic equations. With the help of Mathematica,the traveling wave solutions of the nonlinear fractional Cahn-Allen Equation was ob-tained by using this method. At last,Numerical results show the effectiveness of the method.
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