a Department of Physics, Zhejiang Lishui University, Lishui 323000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
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.
Received: 03 September 2004
Revised: 13 October 2004
Accepted manuscript online:
PACS:
47.35.Fg
(Solitary waves)
Fund: 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.
Cite this article:
Zheng Chun-Long (郑春龙), Fang Jian-Ping (方建平), Chen Li-Qun (陈立群) (陈立群) Localized excitations with and without propagating properties in (2+1)-dimensions obtained by a mapping approach 2005 Chinese Physics 14 676
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