Vector combined and crossing Kuznetsov–Ma solitons in \(\mathcal {PT}\) -symmetric coupled waveguides

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• 作者：Ji-tao Li ; Yu Zhu ; Quan-tao Liu ; Jin-zhong Han ; Yue-yue Wang…
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：85
• 期：2
• 页码：973-980
• 全文大小：3,730 KB
• 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
• 卷排序：85

文摘

A variable-coefficient coupled nonlinear Schrödinger equation with balanced gain and loss is studied, and two kinds of analytical Kuznetsov–Ma soliton solutions including combined Kuznetsov–Ma soliton solution and crossing two-Kuznetsov–Ma soliton solution are obtained. In a diffraction decreasing system, the control for the excitation of two kinds of Kuznetsov–Ma soliton including rear excitation, peak excitation and initial excitation is investigated. The different peak locations of Kuznetsov–Ma soliton along the propagation direction appear repeatedly, which makes rear excitation, peak excitation and initial excitation happen again and again.KeywordsVector combined and crossing Kuznetsov–Ma solitonsCoupled nonlinear Schrödinger equation\({\mathcal {PT}}\)-symmetry Controllable excitation