基于含有拉曼增益效应的自聚焦非线性薛定谔方程,数值研究了拉曼增益分别对Peregrine怪波(PS)、Akhmediev呼吸子(AB)和Kuznetsov-Ma孤子(KMS)传输特性的影响。结果表明:拉曼增益效应会使怪波、AB和KMS在时间方向上发生分裂,且拉曼增益系数越大,分裂速度越快;拉曼增益效应还会使三种孤子解传输距离方向上的峰值功率增大,相邻两最大压缩脉冲之间的距离缩短,且拉曼增益系数越大,最大峰值功率越大,相邻距离越小。

Based on the self-focusing nonlinear Schrdinger (NLS) equations with the Raman gain effect,we investigated numerically that the influence of the Raman gain effect on the transmission properties of Peregrine rogue wave,Akhmediev breather and Kuznetsov-Ma soliton. The results showed that the Raman gain effect causes splitting at an increasing rate for PS,AB and KMS in temporal domained;the larger Raman gain coefficient is,the faster the splitting speed is. It also makes their peak power at the maxi-suppression point become higher with the increase of transmission distance and the peak’s interval become shorter with larger Raman gain coefficient.