Variable sinh-Gaussian solitons in nonlocal nonlinear Schrodinger equation

被引：133

作者：

Yang, Zhen-Jun ^{[1
]}

Zhang, Shu-Min ^{[1
]}

Li, Xing-Liang ^{[1
]}

Pang, Zhao-Guang ^{[1
]}

机构：

[1] Hebei Normal Univ, Coll Phys & Informat Engn, Hebei Adv Thin Films Key Lab, Shijiazhuang 050024, Hebei, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 82卷

基金：

中国国家自然科学基金;

关键词：

Nonlocal nonlinear Schrodinger equation; Optical soliton; Nonlinear propagation; PROPAGATION; BEAMS; DARK;

D O I：

10.1016/j.aml.2018.02.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the nonlocal nonlinear Schrodinger equation that governs phenomenologically the propagation of laser beams in nonlocal nonlinear media, we theoretically investigate the propagation of sinh-Gaussian beams (ShGBs). Mathematical expressions are derived to describe the beam propagation, the intensity distribution, the beam width, and the beam curvature radius of ShGBs. It is found that the propagation behavior of ShGBs is variable and closely related to the parameter of sinh function (PShF). If the PShF is small, the transverse pattern of ShGBs keeps invariant during propagation for a proper input power, which can be regarded as solitons. If the PShF is large, it varies periodically, which is similar to the evolution of temporal higher-order solitons in nonlinear optical fiber. Numerical simulations are carried out to illustrate the typical propagation characteristics. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：64 / 70

页数：7

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