带参数时空分数阶Fokas-Lenells方程的精确解

Exact Solutions to Space-Time Fractional Fokas-Lenells Equations With Parameters

利用多项式完全判别系统法求得非线性光学中带参数时空分数阶Fokas-Lenells方程在一般情况下的精确解,包括有理函数解、周期解、孤波解、Jacobi椭圆函数解和双曲函数解等,绘制了精确解的相关图像,并由此分析了参数对解的结构的影响.

The exact solutions to the space-time fractional Fokas-Lenells equations with parameters in nonlinear optics were obtained by means of the complete discrimination system for polynomial method,including rational function solutions,periodic solutions,solitary wave solutions,Jacobi elliptic function solutions and hyperbolic function solutions.The relevant graphs of the exact solutions were drawn,and the influence of parameters on the structure of the solution was analyzed.