Vortex soliton in (2+1)-dimensional \(\mathcal {PT}\) -symmetric nonlinear cou

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• 作者：Hai-Ping Zhu ; Zhen-Huan Pan
• 关键词：\(\mathcal {PT}\) ; symmetric nonlinear couplers ; (2+1) ; Dimensional coupled nonlinear Schrödinger equation ; Vortex soliton
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：83
• 期：3
• 页码：1325-1330
• 全文大小：2,195 KB
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• 作者单位：Hai-Ping Zhu (1)
  Zhen-Huan Pan (2)
  
  1. College of Ecology, Lishui University, Lishui, 323000, Zhejiang, China
  2. College of Engineering and Design, Lishui University, Lishui, 323000, Zhejiang, China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

We study the coupled nonlinear Schrödinger equation in the (2+1)-dimensional inhomogeneous \(\mathcal {PT}\)-symmetric nonlinear couplers and obtain \(\mathcal {PT}\)-symmetric and \(\mathcal {PT}\)-antisymmetric vortex soliton solutions. The dynamical behaviors of the completely localized structures (vortex solitons) are analytically and numerically investigated in a diffraction decreasing system with exponential profile. Numerical results indicate that one vortex soliton with different topological charges can stably propagate a long distance. The space between two humps and the modulation depth of vortex solitons add when the topological charge increases. However, the change tendency of the amplitude and width of vortex solitons is same with the increase in topological charge.