中国物理B ›› 2000, Vol. 9 ›› Issue (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

张解放   

  1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Research Center of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, China
  • 收稿日期:1999-01-30 修回日期:1999-04-11 出版日期:2000-01-15 发布日期:2005-06-10
  • 基金资助:
    Project supported by the Foundation of "151 Talent Engineering" of Zhejiang Province of China.

ABUNDANT DROMION-LIKE STRUCTURES TO THE (2+1) DIMENSIONAL KdV EQUATION

Zhang Jie-fang (张解放)   

  1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Research Center of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, China
  • Received:1999-01-30 Revised:1999-04-11 Online:2000-01-15 Published:2005-06-10
  • Supported by:
    Project supported by the Foundation of "151 Talent Engineering" of Zhejiang Province of China.

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摘要： 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.

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.

中图分类号:  (Delay and functional equations)

  • 02.30.Ks
05.45.Yv (Solitons)