Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40509-040509.doi: 10.1088/1674-1056/22/4/040509

• GENERAL • 上一篇    下一篇

Interactions among special embed-solitons for the (3+1)-dimensional Burgers equation

张雯婷, 戴朝卿, 陈未路   

  1. School of Sciences, Zhejiang A & F University, Lin'an 311300, China
  • 收稿日期:2012-08-05 修回日期:2012-10-15 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11005092), the Undergraduate Scientific and Technological Innovation Project of Zhejiang Province of China (Grant No. 2012R412018), and the Undergraduate Innovative Base Program of Zhejiang A & F University.

Interactions among special embed-solitons for the (3+1)-dimensional Burgers equation

Zhang Wen-Ting (张雯婷), Dai Chao-Qing (戴朝卿), Chen Wei-Lu (陈未路)   

  1. School of Sciences, Zhejiang A & F University, Lin'an 311300, China
  • Received:2012-08-05 Revised:2012-10-15 Online:2013-03-01 Published:2013-03-01
  • Contact: Dai Chao-Qing E-mail:dcq424@126.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11005092), the Undergraduate Scientific and Technological Innovation Project of Zhejiang Province of China (Grant No. 2012R412018), and the Undergraduate Innovative Base Program of Zhejiang A & F University.

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摘要： With the help of a modified mapping method and a new mapping method, we re-study the (3+1)-dimensional Burgers equation, and derive two families of variable separation solutions. By selecting appropriate functions in the variable separation solution, we discuss interaction behaviors among taper-like, plateau-type ring, and rectangle-type embed-solitons in the periodic wave background. All interaction behaviors among them are completely elastic, and no phase shift appears after interaction.

关键词: (3+1)-dimensional Burgers equation, modified mapping method, interaction between special embed-solitons

Abstract: With the help of a modified mapping method and a new mapping method, we re-study the (3+1)-dimensional Burgers equation, and derive two families of variable separation solutions. By selecting appropriate functions in the variable separation solution, we discuss interaction behaviors among taper-like, plateau-type ring, and rectangle-type embed-solitons in the periodic wave background. All interaction behaviors among them are completely elastic, and no phase shift appears after interaction.

Key words: (3+1)-dimensional Burgers equation, modified mapping method, interaction between special embed-solitons

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Ik (Integrable systems) 03.65.Ge (Solutions of wave equations: bound states)