Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium
作者: Zhong DuBo TianQi-Xing QuXiao-Yu WuXue-Hui Zhao
作者单位: 1State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
2School of Information, University of International Business and Economics, Beijing 100029, China
刊名: Applied Numerical Mathematics, 2020, Vol.153 , pp.179-187
来源数据库: Elsevier Journal
DOI: 10.1016/j.apnum.2020.02.002
关键词: Non-Kerr mediumRational rogue wavesSemi-rational rogue wavesCoupled cubic-quintic nonlinear Schrödinger systemDarboux transformation
原始语种摘要: Abstract(#br)Non-Kerr media possess certain applications in photonic lattices and optical fibers. Studied in this paper are the vector rational and semi-rational rogue waves in a non-Kerr medium, through the coupled cubic-quintic nonlinear Schrödinger system, which describes the effects of quintic nonlinearity on the ultrashort optical pulse propagation in the medium. Applying the gauge transformations, we derive the N th-order Darboux transformation and N th-order vector rational and semi-rational rogue wave solutions, where N is a positive integer. With such solutions, we present three types of the second-order rogue waves with the triangle structure: the one with each component containing three four-petaled rogue waves, the one with each component containing three eye-shaped rogue...
全文获取路径: Elsevier  (合作)
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来源刊物:
影响因子:1.152 (2012)

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关键词翻译
关键词翻译
  • rational 有理数
  • rogue 歹徒
  • quintic 五次
  • coupled 耦合
  • cubic 三次方程
  • medium 介质
  • triangle 三角形
  • nonlinear 非线性的
  • transformation 变换
  • component 成分