Limiting behavior and complex dynamics of all solitary waves in the two-component Dullin鈥揋ottwald鈥揌olm equation

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• 作者：Jiuli Yin ; Yanmin Wu ; Qianqian Xing ; Lixin Tian
• 关键词：Two component ; Solitary wave ; Limiting behavior ; Complex dynamics
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：83
• 期：1-2
• 页码：703-711
• 全文大小：5,377 KB
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• 作者单位：Jiuli Yin (1)
  Yanmin Wu (1)
  Qianqian Xing (1)
  Lixin Tian (1)
  
  1. Faculty of Science, Nonlinear Science Research Center, Jiangsu University, Zhenjiang, 212013, Jiangsu, People鈥檚 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

All possible exotic and smooth solitary wave solutions to the two-component Dullin鈥揋ottwald鈥揌olm equation are investigated. We classify this equation in specified regions of the parametric space. Moreover, we give the limiting relations of all different solitary waves as the parameters trend to some special values. All solitary waves suffer from external perturbations, and these solutions turn to the chaotic state easily. In view of the variation of the control coefficient, the smooth solitary wave is the easiest one to be controlled into a stable state and the cusped solitary wave is the most difficult to be controlled under the same controller condition. Keywords Two component Solitary wave Limiting behavior Complex dynamics