中国物理B ›› 2005, Vol. 14 ›› Issue (4): 669-675.doi: 10.1088/1009-1963/14/4/006

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New exact excitations and soliton fission and fusion for the (2+1)-dimensional Broer--Kaup--Kupershmidt system

方建平1, 郑春龙2   

  1. (1)Department of Physics, Zhejiang Lishui University, Lishui, 323000, China; (2)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China
  • 收稿日期:2004-06-14 修回日期:2004-12-13 出版日期:2005-04-20 发布日期:2005-03-28
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10172056), the Natural Science Foundation\linebreak of Zhejiang Province (Grant No Y604106), the Foundation of New Century 151 Talent Engineering of Zhejiang Province and the Natural Science Foundation of Zhejiang Lishui University (Grant Nos KZ04008 ).

New exact excitations and soliton fission and fusion for the (2+1)-dimensional Broer--Kaup--Kupershmidt system

Fang Jian-Ping (方建平)a, Zheng Chun-Long (郑春龙)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
  • Received:2004-06-14 Revised:2004-12-13 Online:2005-04-20 Published:2005-03-28
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10172056), the Natural Science Foundation\linebreak of Zhejiang Province (Grant No Y604106), the Foundation of New Century 151 Talent Engineering of Zhejiang Province and the Natural Science Foundation of Zhejiang Lishui University (Grant Nos KZ04008 ).

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摘要： With the help of an extended mapping approach, a series of new types of exact excitations with two arbitrary functions of the (2+1)-dimensional Broer--Kaup--Kupershmidt (BKK) system is derived. Based on the derived solitary wave excitation, some specific soliton fission and fusion solutions of the higher-dimensional BKK system are also obtained.

Abstract: With the help of an extended mapping approach, a series of new types of exact excitations with two arbitrary functions of the (2+1)-dimensional Broer--Kaup--Kupershmidt (BKK) system is derived. Based on the derived solitary wave excitation, some specific soliton fission and fusion solutions of the higher-dimensional BKK system are also obtained.

Key words: extended mapping approach, BKK system, exact solution, soliton fission, soliton fusion

中图分类号:  (Solitons)

  • 05.45.Yv
03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 02.30.Jr (Partial differential equations)