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Chinese Physics, 2005, Vol. 14(4): 669-675    DOI: 10.1088/1009-1963/14/4/006
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New exact excitations and soliton fission and fusion for the (2+1)-dimensional Broer--Kaup--Kupershmidt system

Fang Jian-Ping (方建平)a, Zheng Chun-Long (郑春龙)ab
a Department of Physics, Zhejiang Lishui University, Lishui 323000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract  With the help of an extended mapping approach, a series of new types of exact excitations with two arbitrary functions of the (2+1)-dimensional Broer--Kaup--Kupershmidt (BKK) system is derived. Based on the derived solitary wave excitation, some specific soliton fission and fusion solutions of the higher-dimensional BKK system are also obtained.
Keywords:  extended mapping approach      BKK system      exact solution      soliton fission      soliton fusion  
Received:  14 June 2004      Revised:  13 December 2004      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  02.30.Jr (Partial differential equations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10172056), the Natural Science Foundation\linebreak of Zhejiang Province (Grant No Y604106), the Foundation of New Century 151 Talent Engineering of Zhejiang Province and the Natural Science Foundation of Zhejiang Lishui University (Grant Nos KZ04008 ).

Cite this article: 

Fang Jian-Ping (方建平), Zheng Chun-Long (郑春龙) New exact excitations and soliton fission and fusion for the (2+1)-dimensional Broer--Kaup--Kupershmidt system 2005 Chinese Physics 14 669

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