ABUNDANT DROMION-LIKE STRUCTURES TO THE (2+1) DIMENSIONAL KdV EQUATION |
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| Authors: | Zhang Jie-fang |
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| Affiliation: | Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Research Center of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, China |
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| 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. is only a very special case of our results. |
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