一致分数阶导数意义下NLS方程和CNLS方程的精确解

Exact Solutions of NLS Equations and CNLS Equations in the Sense of Conformable Fractional Derivatives

在一致分数阶导数意义下,利用新的复变换研究了二阶NLS方程和CNLS方程,得到了两类带约束条件的薛定谔方程复值函数形式的新精确解.通过图像模拟,给出了两类方程的精确解在特定参数条件下随时间和空间变化的模值函数三维坐标图,实部三维坐标图和虚部三维坐标图.

In the sense of conformable fractional derivative,the new complex transformation is used to study the second order NLS equation and CNLS equation,and the new exact solutions of two kinds of Schrodinger equation with constraints in the form of complex valued functions are obtained.Through simulation images,exact solutions of two classes of equations are given under the condition of certain parameters change with time and space modulus value function of the 3d coordinate diagram,real 3d coordinate diagram and the imaginary part of 3d coordinate.