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
AbstractThe 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:
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