Control and management of the combined Peregrine soliton and Akhmediev breathers in \({\math

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• 作者：Ji-tao Li ; Xian-tu Zhang ; Ming Meng ; Quan-tao Liu ; Yue-yue Wang…
• 关键词：Coupled nonlinear Schrödinger equation ; \({\mathcal {PT}}\) ; symmetric coupled waveguide ; Combined Peregrine soliton and Akhmediev breather ; Controllable behavior
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：84
• 期：2
• 页码：473-479
• 全文大小：10,020 KB
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• 作者单位：Ji-tao Li (1)
  Xian-tu Zhang (1)
  Ming Meng (1)
  Quan-tao Liu (2)
  Yue-yue Wang (3)
  Chao-qing Dai (3)
  
  1. School of Physics and Telecommunications Engineering, Zhoukou Normal University, Zhoukou, 466001, People’s Republic of China
  2. State Key Laboratory of Silicate Materials for Architectures, Wuhan University of Technology, Wuhan, 430070, People’s Republic of China
  3. School of Sciences, Zhejiang Agriculture and Forestry University, Lin’an, 311300, 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

The coupled nonlinear Schrödinger equation in parity-time-symmetric coupled waveguides with variable coefficients is studied, and exact combined Peregrine soliton and Akhmediev breather solution is derived. Based on this solution, by adjusting the relation between the maximal value \(Z_{\mathrm{m}}\) and the exciting location value \(Z_0\), we discuss the controllable behaviors including the complete excitation, recurrence, maintenance and restraint of the combined Peregrine soliton and Akhmediev breather.