整合时空分数阶Cahn-Allen方程的新精确解

New Solutions to Conformable Time-Space Fractional Cahn-Allen Equation

探讨了整合时空分数阶Cahn-Allen方程.该方程描述铁合金相分离过程,常用于凝固和形核问题.通过分数阶行波变换,利用广义(G′/G)-展开法研究了整合时空分数阶Cahn-Allen方程的精确解.通过图像模拟,给出了部分精确解随时间和空间演化的坐标图.

This paper studies the conformable time-space Cahn-Allen equation which describes the process of phase separation in iron alloys which is commonly used in solidification and nucleation.By using the fractional traveling wave transform,the exact solutions to the conformable time-space fractional Cahn-Allen equation is investigated by utilizing generalized(G’/G)-expansion method.Through image simulation,the coordinate graphs of some exact solutions with time evolution and space development is given.