中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1201-1208.doi: 10.1088/1009-1963/16/5/005

• GENERAL • 上一篇    下一篇

Exotic interactions between solitons of the (2+1)-dimensional asymmetric Nizhnik--Novikov--Veselov system

戴朝卿, 周国泉   

  1. Department of Information Physics, School of Sciences, Zhejiang Forestry University, Linan 311300, China
  • 收稿日期:2006-08-21 修回日期:2006-12-11 出版日期:2007-05-20 发布日期:2007-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10672147) and Natural Science Foundation of Zhejiang Forestry University, China (Grant No 2006FR035).

Exotic interactions between solitons of the (2+1)-dimensional asymmetric Nizhnik--Novikov--Veselov system

Dai Chao-Qing(戴朝卿)† and Zhou Guo-Quan(周国泉)   

  1. Department of Information Physics, School of Sciences, Zhejiang Forestry University, Linan 311300, China
  • Received:2006-08-21 Revised:2006-12-11 Online:2007-05-20 Published:2007-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10672147) and Natural Science Foundation of Zhejiang Forestry University, China (Grant No 2006FR035).

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摘要： Starting from the extended tanh-function method (ETM) based on the mapping method, the variable separation solutions of the (2+1)-dimensional asymmetric Nizhnik--Novikov--Veselov (ANNV) system are derived. By further study, we find that these variable separation solutions are seemingly independent of but actually dependent on each other. Based on the variable separation solution and by choosing appropriate functions, some novel and interesting interactions between special solitons, such as bell-like compacton, peakon-like compacton and compacton-like semi-foldon, are investigated.

Abstract: Starting from the extended tanh-function method (ETM) based on the mapping method, the variable separation solutions of the (2+1)-dimensional asymmetric Nizhnik--Novikov--Veselov (ANNV) system are derived. By further study, we find that these variable separation solutions are seemingly independent of but actually dependent on each other. Based on the variable separation solution and by choosing appropriate functions, some novel and interesting interactions between special solitons, such as bell-like compacton, peakon-like compacton and compacton-like semi-foldon, are investigated.

Key words: extended tanh-function method, (2+1)-dimensional ANNV system, exotic interactions between solitons

中图分类号:  (Solitons)

  • 05.45.Yv