中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2395-2401.doi: 10.1088/1009-1963/14/12/004

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Interaction between two folded solitary waves for a modified Broer--Kaup system

吴晓飞1, 朱加民1, 马正义2   

  1. (1)Department of Physics, Zhejiang Lishui University, Lishui 323000, China; (2)Department of Physics, Zhejiang Lishui University, Lishui 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • 出版日期:2005-12-20 发布日期:2005-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10272071) and the Key Assisted Academic Discipline of Zhejiang Province (Grant No 200337).

Interaction between two folded solitary waves for a modified Broer--Kaup system

Wu Xiao-Fei (吴晓飞)a, Zhu Jia-Min (朱加民)a, Ma Zheng-Yi (马正义)ab   

  1. a Department of Physics, Zhejiang Lishui University, Lishui 323000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Online:2005-12-20 Published:2005-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10272071) and the Key Assisted Academic Discipline of Zhejiang Province (Grant No 200337).

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摘要： By means of a Painlev\'{e}--B\"{a}cklund transformation and a multi-linear separation-of-variable approach, abundant localized coherent excitations of a modified Broer--Kaup system are derived. There appear possible phase shifts for the interactions of the (2+1)-dimensional novel localized structures, which are discussed in this paper.

Abstract: By means of a Painlevé--Bäcklund transformation and a multi-linear separation-of-variable approach, abundant localized coherent excitations of a modified Broer--Kaup system are derived. There appear possible phase shifts for the interactions of the (2+1)-dimensional novel localized structures, which are discussed in this paper.

Key words: modified Broer--Kaup system, Bäcklund transformation, separation-of-variable method, folded localized excitations

中图分类号:  (Solitons)

  • 05.45.Yv
05.45.Df (Fractals)