Dark solitons and Bäcklund transformation for the (2+1)-dimensional coupled nonlinear Schrödinger equation with the variable coefficients in a graded-index waveguide
作者: Xiao-Yu WuBo TianXi-Yang XieJun Chai
作者单位: 1State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China
刊名: Superlattices and Microstructures, 2017, Vol.101 , pp.117-126
来源数据库: Elsevier Journal
DOI: 10.1016/j.spmi.2016.11.019
关键词: Graded-index waveguide(2+1)-dimensional coupled nonlinear Schrödinger equationsDark solitonsBäcklund transformation
原始语种摘要: Abstract(#br)Under investigation in this paper is a set of the (2 + 1)-dimensional coupled nonlinear Schrödinger equations, which describes the propagation of an optical beam inside a (2 + 1)-dimensional graded-index waveguide with the polarization effects. Employing the Hirota method and symbolic computation, we obtain the dark one-, two- and N -soliton solutions under the variable-coefficient constraints. Bäcklund transformation and the corresponding soliton solutions are derived. We graphically study the dark solitons with the influence of the profile function and nonlinearity coefficient. Parallel and period solitons are observed. Amplitudes of the dark solitons increase with the profile function increasing; When the profile function is a periodic function, amplitudes of the dark...
全文获取路径: Elsevier  (合作)
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影响因子:1.564 (2012)

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关键词翻译
关键词翻译
  • coupled 耦合
  • nonlinear 非线性的
  • transformation 变换
  • index 指标
  • graded 分等级的
  • dimensional 量纲的
  • waveguide 波导
  • variable 变量
  • equation 方程
  • dinger 铁道终点站站长