中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110507-110507.doi: 10.1088/1674-1056/21/11/110507

• GENERAL • 上一篇    下一篇

Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation

陈未路, 张雯婷, 张立溥, 戴朝卿   

  1. School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China
  • 收稿日期:2012-05-02 修回日期:2012-05-28 出版日期:2012-10-01 发布日期:2012-10-01
  • 基金资助:
    Supported by the National Natural Science Foundation of China (Grant No. 11005092), the Program for Innovative Research Team of Young Teachers, China (Grant No. 2009RC01), the Undergraduate Innovative Base of Zhejiang A & F University, China, and the Zhejiang Province Undergraduate Scientific and Technological Innovation Project, China (Grant No. 2012R412018).

Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation

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

  1. School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China
  • Received:2012-05-02 Revised:2012-05-28 Online:2012-10-01 Published:2012-10-01
  • Contact: Dai Chao-Qing E-mail:dcq424@126.com
  • Supported by:
    Supported by the National Natural Science Foundation of China (Grant No. 11005092), the Program for Innovative Research Team of Young Teachers, China (Grant No. 2009RC01), the Undergraduate Innovative Base of Zhejiang A & F University, China, and the Zhejiang Province Undergraduate Scientific and Technological Innovation Project, China (Grant No. 2012R412018).

摘要: With the help of a modified mapping method, we obtain two kinds of variable separation solutions with two arbitrary functions for the (2+1)-dimensional dispersive long wave equation. When selecting appropriate multi-valued functions in the variable separation solution, we investigate the interactions among special multi-dromions, dromion-like multi-peakons, and dromion-like multi-semifoldons, which all demonstrate non-completely elastic properties.

关键词: modified mapping method, dispersive long wave equation, variable separation solution, exotic interaction between special solitons

Abstract: With the help of a modified mapping method, we obtain two kinds of variable separation solutions with two arbitrary functions for the (2+1)-dimensional dispersive long wave equation. When selecting appropriate multi-valued functions in the variable separation solution, we investigate the interactions among special multi-dromions, dromion-like multi-peakons, and dromion-like multi-semifoldons, which all demonstrate non-completely elastic properties.

Key words: modified mapping method, dispersive long wave equation, variable separation solution, exotic interaction between special solitons

中图分类号:  (Solitons)

  • 05.45.Yv
03.65.Ge (Solutions of wave equations: bound states)