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非局域表面暗孤子及其稳定性分析

高星辉 唐冬 张承云 郑晖 陆大全 胡巍

物理学报Issue(2):024204-1-024204-6,6.
物理学报Issue(2):024204-1-024204-6,6.DOI:10.7498/aps.63.024204

非局域表面暗孤子及其稳定性分析

Nonlo cal surface dark solitons and their stability analysis

高星辉 1唐冬 2张承云 1郑晖 1陆大全 1胡巍3

作者信息

  • 1. 广州大学机械与电气工程学院,广州 510006
  • 2. 华南师范大学,广东省微纳光子功能材料与器件重点实验室,广州 510631
  • 3. 华南师范大学,广东省微纳光子功能材料与器件重点实验室,广州 510631
  • 折叠

摘要

Abstract

Due to their future applications in optical communication, nonlocal dark solitons in bulk medium and surface bright solitons have received much attention recently. However, nonlocal surface dark solitons have not been investigated till now. In this paper, 1+1 dimensional nonlocal fundamental and second-order surface dark solitons have been found numerically at the interface between thermal nonlinear medium and linear medium. The relation between the wave shape of nonlocal surface dark soliton and propagation constant and nonlocality degree is investigated. Moreover, the stability of them is analyzed theoretically. The numerical simulation results show that 1+1 dimensional nonlocal fundamental surface dark Solitons are always stable in the domain of their existence, while second-order surface dark solitons are oscillatorily unstable and the width of unstable domain depends more greatly on propagation constant than nonlocality degree of nonlocal nonlinear medium. The figure showing the propagation, with the initial input of noise added, confirms the correctness of stability analysis results.

关键词

非局域/表面暗孤子/稳定性

Key words

nonlocal/surface dark solitons/stability

引用本文复制引用

高星辉,唐冬,张承云,郑晖,陆大全,胡巍..非局域表面暗孤子及其稳定性分析[J].物理学报,2014,(2):024204-1-024204-6,6.

基金项目

国家自然科学基金(批准号:11174090,11174091)资助的课题.@@@@ Project supported by the National Natural Science Foundation of China (Grant Nos.11174090,11174091) (批准号:11174090,11174091)

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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