时间分数阶Gardner方程新精确解的构建

Construction of New Exact Solutions for Time Fractional Gardner Equation

借助复变换将非线性分数阶偏微分方程转化为整数阶常微分方程,并利用修正的Tanh函数展开法,得到时间分数阶Gardner方程的新精确解,其中包括孤立波解、周期波解、有理函数解.

The time fractional Gardner equation was converted to nonlinear ordinary differential equation by using the fractional complex transformation.Then the modified extended Tanh function method was used to construct exact solutions.A series of new exact solutions were obtained,which include solitary wave solutions,periodic wave solutions and rational solutions.