自陡峭和自频移效应对有限背景解的影响

Influence of the Self-Steepening and Self-frequency Shift Effects on the Transmission Properties of Three Solutions on the Finite Background

基于自聚焦的非线性薛定谔方程,研究了自陡峭效应和自频移效应对Peregrine怪波(PS)、Akhmediev呼吸子(AB)和Kuznetsov-Ma孤子(KMS)传输特性的影响。数值模拟结果表明:这两种效应使三种有限背景解分裂加快,相邻最大压缩脉冲间的距离减小,脉冲中心发生偏移,且参数越大,分裂得越早,脉冲中心偏移量越大。

Based on the self-focusing nonlinear Schrdinger（NLS）equations,we investigated numerically the influence of the Self-Steepening and Self-frequency shift effects on the transmission properties of Peregrine rogue wave,Akhmediev breather and Kuznetsov-Ma soliton.The results show that the two effects causeed splitting at an increasing rate for PS,AB and KMS,and the distance between the neighbor maximum compression pulses decreased,the center of peaks shifted.It also made the splitting earlier and the offsets of center peaks increased with the larger Self-Steepening coefficient.