典型文献
Self-phase modulation via similariton solutions of the perturbed NLSE Modulation instability and induced self-steepening
文献摘要：
The perturbed nonlinear Schrodinger equation(PNLSE)describes the pulse propagation in optical fibers,which results from the interaction of the higher-order dispersion effect,self-steepening(SS)and self-phase modulation(SPM).The challenge between these aforementioned phenomena may lead to a dominant one among them.It is worth noticing that the study of modulation instability(MI)leads to the inspection of dominant phenomena(DPh).Indeed,the MI triggers when the coefficient of DPh exceeds a critical value and it may occur that the interaction leads to wave compression.The PNLSE is currently studied in the literature,mainly on finding traveling wave solutions.Here,we are concerned with analyzing the similarity solutions of the PNLSE.The exact solutions are obtained via introducing similarity transformations and by using the extended unified method.The solutions are evaluated numerically and they are shown graphically.It is observed that the intensity of the pulses exhibits self steepening which progresses to shock soliton in ultra-short time(or near t=0).Also,it is found that the real part of the solution exhibits self-phase modulation in time.The study of(MI)determines the critical value for the coefficients of SS,SPM,or high dispersivity to occur.
文献关键词：
中图分类号：
作者姓名：
H I Abdel-Gawad
作者机构：
Department of Mathematics Faculty of Science Cairo University Egypt
文献出处：
引用格式：
[1]H I Abdel-Gawad-.Self-phase modulation via similariton solutions of the perturbed NLSE Modulation instability and induced self-steepening)[J].理论物理,2022(08):41-50
A类：
similariton,PNLSE,DPh
B类：
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AB值：
0.513016
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