中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100205-100205.doi: 10.1088/1674-1056/19/10/100205

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Interaction behaviours of solitoffs: fission, fusion, reconnection and annihilation

梁祖峰1, 李军民2, 唐晓艳2   

  1. (1)Department of Physics, Hangzhou Normal University, Hangzhou 310036, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China
  • 收稿日期:2009-08-03 修回日期:2010-06-03 出版日期:2010-10-15 发布日期:2010-10-15
  • 基金资助:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20070248120), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, the National Natural Science Foundation of China (Grant No. 10905038), and the Shanghai Rising-Star Programme, China (Grant No. 09QA1403300).

Interaction behaviours of solitoffs: fission, fusion, reconnection and annihilation

Li Jun-Min(李军民)a), Liang Zu-Feng(梁祖峰)b)†, and Tang Xiao-Yan(唐晓艳)a)‡   

  1. a Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China; b Department of Physics, Hangzhou Normal University, Hangzhou 310036, China
  • Received:2009-08-03 Revised:2010-06-03 Online:2010-10-15 Published:2010-10-15
  • Supported by:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20070248120), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, the National Natural Science Foundation of China (Grant No. 10905038), and the Shanghai Rising-Star Programme, China (Grant No. 09QA1403300).

摘要: The interactions between solitoffs are extensively investigated. Besides the known solitoff fission and fusion interactions, two new types of solitoff interactions are discovered, named the solitoff reconnection and the solitoff annihilation. Taking the asymmetric Nizhnik--Novikov--Veselov equation as an illustrative system, five types of solitoff interactions are graphically revealed on the basis of the analytical solution obtained by the modified tanh function expansion method.

Abstract: The interactions between solitoffs are extensively investigated. Besides the known solitoff fission and fusion interactions, two new types of solitoff interactions are discovered, named the solitoff reconnection and the solitoff annihilation. Taking the asymmetric Nizhnik–Novikov–Veselov equation as an illustrative system, five types of solitoff interactions are graphically revealed on the basis of the analytical solution obtained by the modified tanh function expansion method.

Key words: fission, fusion, reconnection, annihilation

中图分类号:  (Functional analysis)

  • 02.30.Sa
05.45.Yv (Solitons)