基于符号计算的光纤中广义变系数高阶薛定谔方程的解析暗孤子解

In this paper, a generalized variable-coefficient nonlinear Schr鰀inger equation with higher-order and gain/loss effects which can be used to describe the femtosecond pulse propagation is analytically investigated via symbolic computation. Under sets of coefficient constraints, such an equation is transformed into a completely integrable constant-coefficient higher-order nonlinear Schr鰀inger equation. Furthermore, through the transformation, the dark one- and two-soliton solutions for the generalized variable-coefficient higher-order nonlinear Schr鰀inger equation are derived by means of the bilinear method.