中国物理B ›› 2004, Vol. 13 ›› Issue (11): 1777-1783.doi: 10.1088/1009-1963/13/11/001

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Variable separation solutions and new solitary wave structures to the (1+1)-dimensional equations of long-wave－short-wave resonant interaction

张解放1, 徐昌智2, 何宝钢2   

  1. (1)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; (2)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Department of Physics and Mathematics, Jinhua Educational College, Jinhua 321000, China
  • 收稿日期:2004-04-27 修回日期:2004-05-27 出版日期:2004-11-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10272072) and the Natural Science Foundation of Zhejiang Province (Grant No 100039).

Variable separation solutions and new solitary wave structures to the (1+1)-dimensional equations of long-wave－short-wave resonant interaction

Xu Chang-Zhi (徐昌智)ab, He Bao-Gang (何宝钢)ab, Zhang Jie-Fang (张解放)a   

  1. a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; b Department of Physics and Mathematics, Jinhua Educational College, Jinhua 321000, China
  • Received:2004-04-27 Revised:2004-05-27 Online:2004-11-20 Published:2005-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10272072) and the Natural Science Foundation of Zhejiang Province (Grant No 100039).

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摘要： A variable separation approach is proposed and extended to the (1+1)-dimensional physical system. The variable separation solutions of (1+1)-dimensional equations of long-wave－short-wave resonant interaction are obtained. Some special type of solutions such as soliton solution, non-propagating solitary wave solution, propagating solitary wave solution, oscillating solitary wave solution are found by selecting the arbitrary function appropriately.

关键词: (1+1)-dimensional equations of long-wave－short-wave resonant interaction equation, variable separation approach, new solitary wave structures

Abstract: A variable separation approach is proposed and extended to the (1+1)-dimensional physical system. The variable separation solutions of (1+1)-dimensional equations of long-wave－short-wave resonant interaction are obtained. Some special type of solutions such as soliton solution, non-propagating solitary wave solution, propagating solitary wave solution, oscillating solitary wave solution are found by selecting the arbitrary function appropriately.

Key words: (1+1)-dimensional equations of long-wave－short-wave resonant interaction equation, variable separation approach, new solitary wave structures

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.-f (Function theory, analysis)