Properties of the temporal鈥搒patial interference pattern during soliton interaction

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• 作者：Li-Chen Zhao ; Liming Ling ; Zhan-Ying Yang ; Jie Liu
• 关键词：Soliton interference ; Nonlinearity measurement ; Velocity measurement
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：83
• 期：1-2
• 页码：659-665
• 全文大小：1,855 KB
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• 作者单位：Li-Chen Zhao (1)
  Liming Ling (2)
  Zhan-Ying Yang (1)
  Jie Liu (3) (4)
  
  1. Department of Physics, Northwest University, Xi鈥檃n, 710069, China
  2. Department of Mathematics, South China University of Technology, Guangzhou, 510640, China
  3. Science and Technology Computation Physics Laboratory, Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China
  4. Center for Applied Physics and Technology, Peking University, Beijing, 100084, 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

Interference patterns associated with soliton鈥搒oliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics through performing the density calculation and asymptotic analysis technic on the well-known two-soliton solution. The period of the spatial interference pattern is determined by the relative velocity of the solitons, and the temporal pattern behavior is determined by the peak amplitudes and the kinetic energy of the solitons. Analytical expressions for the periods of the interference patterns are obtained. A method for classifying the nonlinearity of many nonlinear systems is proposed. As an example, we discuss what can be read out from the nonlinear interference pattern between solitons in an ultra-cold atom system. Keywords Soliton interference Nonlinearity measurement Velocity measurement