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• 作者：Chao-Qing Dai ; Yue-Yue Wang
• 关键词：Vector spatiotemporal localization ; $${\mathcal {PT}}$$ PT symmetry ; $$(3+1)$$ ( 3 + 1 ) ; Dimensional coupled nonlocal nonlinear Schrödinger equation
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：83
• 期：4
• 页码：2453-2459
• 全文大小：2,307 KB
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• 作者单位：Chao-Qing Dai (1)
  Yue-Yue Wang (1)
  
  1. School of Sciences, Zhejiang A & F University, Lin’an, 311300, Zhejiang, People’s Republic of 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

A \((3+1)\)-dimensional coupled nonlocal nonlinear Schrödinger equation in the inhomogeneous \({\mathcal {PT}}\)-symmetric and strongly nonlocal nonlinear media is studied, and analytical vector spatiotemporal localized solutions are obtained. From these solutions, Gaussian soliton clusters, multipole soliton clusters, and nested soliton clusters can be constructed. The expansion behavior and periodic expansion and compression of spatiotemporal localizations are also investigated in the diffraction decreasing system and periodic modulation system, respectively. Keywords Vector spatiotemporal localization \({\mathcal {PT}}\) symmetry \((3+1)\)-Dimensional coupled nonlocal nonlinear Schrödinger equation