中国物理B ›› 2005, Vol. 14 ›› Issue (2): 285-292.doi: 10.1088/1009-1963/14/2/012

• GENERAL • 上一篇    下一篇

New localized excitations in a (2+1)-dimensional Broer—Kaup system

刘希强1, 白成林2, 赵红2   

  1. (1)Mathematical Science School, Liaocheng University, Liaocheng 252059, China; (2)Physics Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2004-02-23 修回日期:2004-10-07 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60177009) and the Natural Science Foundation of Shandong Province (Grant No Q2003G01).

New localized excitations in a (2+1)-dimensional Broer—Kaup system

Bai Cheng-Lin (白成林)a, Liu Xi-Qiang (刘希强)b, Zhao Hong (赵红)a   

  1. a Physics Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China; b Mathematical Science School, Liaocheng University, Liaocheng 252059, China
  • Received:2004-02-23 Revised:2004-10-07 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60177009) and the Natural Science Foundation of Shandong Province (Grant No Q2003G01).

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摘要： Starting with the extended homogeneous balance method and a variable separation approach, a general variable separation solution of the Broer—Kaup system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, peakon and fractal localized solutions, some new types of localized excitations, such as compacton and folded excitations, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple-valued functions, and some interesting novel features of these structures are revealed.

Abstract: Starting with the extended homogeneous balance method and a variable separation approach, a general variable separation solution of the Broer—Kaup system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, peakon and fractal localized solutions, some new types of localized excitations, such as compacton and folded excitations, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple-valued functions, and some interesting novel features of these structures are revealed.

Key words: extended homogeneous balance method, variable separation approach, localized excita tions, (2+1)-dimensional, Broer—Kaup system

中图分类号:  (Solitons)

  • 05.45.Yv