张星^1，， 赵引川^1，*， 齐凤华^2，， 蔡刘颍^1，

（  1、华北电力大学数理学院,北京　102206 ；       2、北京物资学院信息学院,北京　101149；  ）

摘要： 本文我们主要研究变系数高阶非线性薛定谔方程中带有非零背景平面W型孤子的非自治特性。在指数,线性和周期振荡色散调制下,我们分别获得三类不同的W型孤子。我们展示三阶色散系数对W型孤子的压缩效应。进一步地,在周期调制的情况下我们分析Peregrine梳和Peregrine墙的形成机制和时空特征。我们发现如果调制振幅为1,Peregrine 梳可以转化为Peregrine墙。
关键词： 变系数高阶非线性薛定谔方程,非自治W型孤子,高阶效应,Peregrine梳,Peregrine墙

Xing Zhang^1,， Yin-Chuan Zhao^1,*， Feng-Hua Qi^2,， Liu-Ying Cai^1,

（  1、Department of Mathematics and Physics, North China Electric Power University, Beijing 102206 ；      2、School of Information, Beijing Wuzi University, Beijing 101149；  ）

Abstract： In this paper, we study the nonautonomous characteristics of the W-shaped solitons on constant backgrounds for a variable-coefficient higher-order nonlinear Schrödinger (vc-HNLS) equation. Several types of solitons are obtained in exponentially, linearly and periodically fluctuating decreasing dispersion profiles, respectively. We also show the compression effect of the third-order dispersion (TOD) coefficient on the W-shaped soliton. We further analyze the formation and spatiotemporal characteristics of the Peregrine combs (PCs) when TOD coefficient is of the periodic form. Moreover, the PC can be converted into the Peregrine wall if the modulation amplitude is equal to 1.
Keywords： Variable-coefficient higher-order nonlinear Schrödinger equation, Nonautonomous W-shaped solitons, Higher-order effects, Peregrine combs, Peregrine walls

 

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