具有非线性增益的五阶非线性薛定谔方程模型中自治相似的非线性压缩
Nonlinear compression of autonomous similaritons in the cubic-quintic nonlinear Schrödinger equation model with nonlinear gain
摘要：
本文借助于对色散、非线性、增益或吸收以及非线性增益变化的五阶非线性薛定谔方程的自相似性分析，描述了相似脉冲在双掺杂光纤中的传输。利用分数阶变换，得到了该模型中遵循简单标度规则的自相似脉冲。通过对色散曲线和非线性度的适当调整，得到了实现最佳脉冲压缩的条件。此外，非线性啁啾的三角函数的解决方案已被证明。
英文摘要：
We describe similariton pulse propagation in double-doped optical fibers with the aid of self-similarity analysis of the cubic-quintic nonlinear Schrödinger equation with varying dispersion, nonlinearity, gain or absorption, and nonlinear gain. Exact similariton pulses that can propagate self similarly subject to simple scaling rules of this model have been found using a fractional transform. By appropriately tailoring the dispersion profile and nonlinearity, the condition for optimal pulse compression has been obtained. Also, nonlinear chirping of the trigonometric solution has been demonstrated.
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