Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions

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• 作者：Rui Guo ; Xiao-Juan Zhao
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：84
• 期：4
• 页码：1901-1907
• 全文大小：556 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：84

文摘

Under investigation in this paper is the discrete Hirota equation which is a combination of discrete NLS and discrete complex modified KdV equations. The discrete spectral problem analysis has been made, and discrete Darboux transformation(DT) has been constructed based on \(2\times 2\) discrete Lax pair for system (1.3). In addition, we have derived new discrete one-soliton solutions by using the obtained discrete DT for system (1.3). Figures have been plotted to display the dynamic features of discrete solitons.KeywordsDiscrete Hirota equationSolitonDiscrete Darboux transformation