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Chinese Physics, 2000, Vol. 9(1): 1-4    DOI: 10.1088/1009-1963/9/1/001
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ABUNDANT DROMION-LIKE STRUCTURES TO THE (2+1) DIMENSIONAL KdV EQUATION

Zhang Jie-fang (张解放)
Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Research Center of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, China
Abstract  The abundant generalized dromion structures for the (2+1)-dimensional KdV equation are obtained using the homogeneous balance method. We give not only the general curve soliton which is finite on a curved line and localized apart from the curve, find but also the dromion solutions which can be driven by two perpendicular line soliton and by two non-perpendicular line soliton and by one line soliton and one curve line soliton. Various types of multi-dromion solutions can be constituted by selecting different arbitrary functions of y. The (1+N) dromion obtained by Radha et al.[3] is only a very special case of our results.
Received:  30 January 1999      Revised:  11 April 1999      Accepted manuscript online: 
PACS:  02.30.Ks (Delay and functional equations)  
  05.45.Yv (Solitons)  
Fund: Project supported by the Foundation of "151 Talent Engineering" of Zhejiang Province of China.

Cite this article: 

Zhang Jie-fang (张解放) ABUNDANT DROMION-LIKE STRUCTURES TO THE (2+1) DIMENSIONAL KdV EQUATION 2000 Chinese Physics 9 1

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