中国物理B ›› 2005, Vol. 14 ›› Issue (4): 676-682.doi: 10.1088/1009-1963/14/4/007

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Localized excitations with and without propagating properties in (2+1)-dimensions obtained by a mapping approach

方建平1, 郑春龙2, 陈立群3   

  1. (1)Department of Physics, Zhejiang Lishui University, Lishui, 323000, China; (2)Department of Physics, Zhejiang Lishui University, Lishui, 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China; (3)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China
  • 收稿日期:2004-09-03 修回日期:2004-10-13 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 of Zhejiang Province (Grant No Y604106), and theFoundation of New Century 151 Talent Engineering of Zhejiang Province.

Localized excitations with and without propagating properties in (2+1)-dimensions obtained by a mapping approach

Zheng Chun-Long (郑春龙)ab, Fang Jian-Ping (方建平)a, Chen Li-Qun (陈立群)b   

  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:2004-09-03 Revised:2004-10-13 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 of Zhejiang Province (Grant No Y604106), and theFoundation of New Century 151 Talent Engineering of Zhejiang Province.

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摘要： By means of an extended mapping approach, a new type of variable-separation excitation is derived with two arbitrary functions in a (2+1)-dimensional modified dispersive water-wave system. Based on the derived variable-separation excitation, abundant nonpropagating and propagating solitons such as dromions, rings, peakons and compactons are revealed by selecting appropriate functions in this paper.

Abstract: By means of an extended mapping approach, a new type of variable-separation excitation is derived with two arbitrary functions in a (2+1)-dimensional modified dispersive water-wave system. Based on the derived variable-separation excitation, abundant nonpropagating and propagating solitons such as dromions, rings, peakons and compactons are revealed by selecting appropriate functions in this paper.

Key words: extended mapping approach, modified dispersive water-wave system, nonpropagating solition, propagating soliton

中图分类号:  (Solitary waves)

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