Bifurcations and new exact travelling wave solutions for the bidirectional wave equations

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• 作者：HENG WANG ; SHUHUA ZHENG ; LONGWEI CHEN ; XIAOCHUN HONG
• 关键词：Bidirectional wave equations ; dynamical system method ; phase portrait ; dark soliton solution ; bright soliton solution ; periodic travelling wave solution.
• 刊名：Pramana
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：87
• 期：5
• 全文大小：1,446 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111
• 卷排序：87

文摘

By using the method of dynamical system, the bidirectional wave equations are considered. Based on this method, all kinds of phase portraits of the reduced travelling wave system in the parametric space are given. All possible bounded travelling wave solutions such as dark soliton solutions, bright soliton solutions and periodic travelling wave solutions are obtained. With the aid of Maple software, numerical simulations are conducted for dark soliton solutions, bright soliton solutions and periodic travelling wave solutions to the bidirectional wave equations. The results presented in this paper improve the related previous studies.