采用变分法求解含有三阶、五阶非线性项以及Kerr色散项的非线性薛定谔方程(NLSE)。 推导出不同参数下高斯脉冲参量随传播距离的演化方程。结果表明特定条件下,脉冲在一定距离内以呼 吸子的形式稳定传播。在较强的Kerr色散效应下,孤子的强度变化会增大,传播过程中波峰变尖。

The nonlinear Schrdinger equation(NLSE) including cubic-quintic nonlinearity and Kerr dispersion term is solved by variational method. Evolution equations of Gaussian pulse parameters versus propagation distance with different parameters are derived. Results show that under certain conditions, the pulses propagate stably in the form of breather within a certain distance. Under the strong Kerr dispersion effect, the intensity change of solitons will increase, and the peaks will become sharp during propagation.