Bifurcations and exact traveling wave solutions of a new two-component system

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• 作者：Zhenshu Wen
• 关键词：A new two ; component system ; Traveling waves ; Solitary waves ; Periodic waves ; Periodic blow ; up waves
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：87
• 期：3
• 页码：1917-1922
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

In this paper, we study the bifurcations and exact traveling wave solutions of a new two-component system from the perspective of the theory of dynamical systems. We obtain all possible bifurcations of phase portraits of the system under various conditions about the parameters associated with the planar dynamical system. Then, we show the existence of traveling wave solutions including solitary waves, periodic waves and periodic blow-up waves, and give their exact expressions. These results can help understand the dynamical behavior of the traveling wave solutions of the system.