中国物理B ›› 2002, Vol. 11 ›› Issue (11): 1101-1105.doi: 10.1088/1009-1963/11/11/302

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Coherent soliton structures of the (2+1)-dimensional long-wave－short-wave resonance interaction equation

盛正卯1, 黄文华2, 张解放3   

  1. (1)Department of Physics, Zhejiang University, Hangzhou 310027, China; (2)Department of Physics, Zhejiang University, Hangzhou 310027, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Department of Physics, Jiangxi Yichun University, Yichun 336000, China; (3)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2002-05-10 修回日期:2002-07-10 出版日期:2002-11-12 发布日期:2005-06-12

Coherent soliton structures of the (2+1)-dimensional long-wave－short-wave resonance interaction equation

Huang Wen-Hua (黄文华)abc, Zhang Jie-Fang (张解放)b, Sheng Zheng-Mao (盛正卯)a   

  1. a Department of Physics, Zhejiang University, Hangzhou 310027, China; b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;  c Department of Physics, Jiangxi Yichun University, Yichun 336000, China
  • Received:2002-05-10 Revised:2002-07-10 Online:2002-11-12 Published:2005-06-12

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摘要： The variable separation approach is used to find exact solutions of the (2+1)-dimensional long-wave－short-wave resonance interaction equation. The abundance of the coherent soliton structures of this model is introduced by the entrance of an arbitrary function of the seed solutions. For some special selections of the arbitrary function, it is shown that the coherent soliton structures may be dromions, solitoffs, etc.

Abstract: The variable separation approach is used to find exact solutions of the (2+1)-dimensional long-wave－short-wave resonance interaction equation. The abundance of the coherent soliton structures of this model is introduced by the entrance of an arbitrary function of the seed solutions. For some special selections of the arbitrary function, it is shown that the coherent soliton structures may be dromions, solitoffs, etc.

Key words: long-wave－short-wave resonance interaction equation, variable separation approach, dromion, solitoff

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
02.30.Sa (Functional analysis)