中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50511-050511.doi: 10.1088/1674-1056/21/5/050511

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Chaotic behaviors of the (2+1)-dimensional generalized Breor–Kaup system

马松华,方建平,任清褒,杨征   

  1. College of Sciences, Lishui University, Lishui 323000, China
  • 收稿日期:2011-09-09 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
  • 基金资助:
    Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y6100257, Y6090545, and Y6110140) and the Scientific Research Fund of Zhejiang Provincial Education Department, China (Grant No. Z201120169).

Chaotic behaviors of the (2+1)-dimensional generalized Breor–Kaup system

Ma Song-Hua(马松华), Fang Jian-Ping(方建平), Ren Qing-Bao(任清褒), and Yang Zheng(杨征)   

  1. College of Sciences, Lishui University, Lishui 323000, China
  • Received:2011-09-09 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
  • Supported by:
    Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y6100257, Y6090545, and Y6110140) and the Scientific Research Fund of Zhejiang Provincial Education Department, China (Grant No. Z201120169).

摘要: With the help of the Maple symbolic computation system and the projective equation approach, a new family of variable separation solutions with arbitrary functions for the (2+1)-dimensional generalized Breor--Kaup (GBK) system is derived. Based on the derived solitary wave solution, some chaotic behaviors of the GBK system are investigated.

关键词: projective equation approach, generalized Breor--Kaup system, variable separation solution, chaotic behavior

Abstract: With the help of the Maple symbolic computation system and the projective equation approach, a new family of variable separation solutions with arbitrary functions for the (2+1)-dimensional generalized Breor--Kaup (GBK) system is derived. Based on the derived solitary wave solution, some chaotic behaviors of the GBK system are investigated.

Key words: projective equation approach, generalized Breor--Kaup system, variable separation solution, chaotic behavior

中图分类号:  (Solitons)

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