The fractional mapping equation method and fractional bi-function method are utilized to study a (2+1)-dimensional space-time fractional nonlinear Schrödinger equation, and its exact traveling wave solutions are constructed using the Mittag–Leffler function. These exact traveling wave solutions are used to analyze dynamical evolution of fractional solitons. The width and amplitude of these solitons remain unchanged. However, the shape of distorted M-shaped solitons and one of the distorted bright solitons remains unchanged, while waves are compressed and their widths reduce during increases in fractional parameters. Another distorted bright soliton has the opposite property, namely, the wave is broadened and its width enlarges during fractional parameter increases.

利用分数映射方程法和分数双函数法研究（2 + 1）维时空分数非线性Schrödinger方程，并使用Mittag–Leffler函数构造其精确的行波解。这些精确的行波解用于分析分数孤子的动力学演化。这些孤子的宽度和幅度保持不变。但是，畸变的M形孤子和畸变的明亮孤子之一的形状保持不变，而波被压缩并且其宽度在分数参数增加期间减小。另一个畸变的明亮孤子具有相反的性质，即在分数参数增加时，波变宽并且其宽度增大。