Rogue wave solutions of the (2+1)-dimensional derivative nonlinear Schrödinger equation

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• 作者：Li-Li Wen ; Hai-Qiang Zhang
• 关键词：(2+1) ; dimensional derivative nonlinear Schrödinger equation ; Rogue wave ; Generalized Darboux transformation
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：86
• 期：2
• 页码：877-889
• 全文大小：4,479 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：86

文摘

In this paper, we focus on the construction of rogue wave solutions for the (2+1)-dimensional derivative nonlinear Schrödinger equation. The N-order generalized Darboux transformation is obtained, and the determinant form of N-order rogue waves is also presented by taking limit on the classical Darboux transformation. On the plane wave solution background, two different kinds of rogue wave solutions (linear rogue wave and parabolic rogue wave) are constructed successively. The characteristics of two types of rogue waves are analyzed by some figures and physical qualities.