中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1233-1238.doi: 10.1088/1009-1963/16/5/011

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Explicit solutions of Boussinesq--Burgers equation

陈爱华1, 王争艳2   

  1. (1)Department of Mathematics, Fudan University, Shanghai 200433, China; (2)Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China
  • 收稿日期:2006-07-22 修回日期:2006-12-18 出版日期:2007-05-20 发布日期:2007-05-20
  • 基金资助:
    Project supported by the Special Funds for Major State Basic Research Project, China (Grant No~G2000077301).

Explicit solutions of Boussinesq--Burgers equation

Wang Zheng-Yan(王争艳)a) † and Chen Ai-Hua(陈爱华)b)   

  1. a Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China; b Department of Mathematics, Fudan University, Shanghai 200433, China
  • Received:2006-07-22 Revised:2006-12-18 Online:2007-05-20 Published:2007-05-20
  • Supported by:
    Project supported by the Special Funds for Major State Basic Research Project, China (Grant No~G2000077301).

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摘要： Darboux transformation with multi-parameters for the Boussinesq--Burgers (B--B) equation is derived. For an application, some important explicit solutions of the B--B equation are obtained, including 2N-soliton solution and periodic solution. Finally, some elegant and interesting figures are plotted.

关键词: Darboux transformation, B--B equation, explicit solution

Abstract: Darboux transformation with multi-parameters for the Boussinesq--Burgers (B--B) equation is derived. For an application, some important explicit solutions of the B--B equation are obtained, including 2N-soliton solution and periodic solution. Finally, some elegant and interesting figures are plotted.

Key words: Darboux transformation, B--B equation, explicit solution

中图分类号:  (Solitons)

  • 05.45.Yv