中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2767-2773.doi: 10.1088/1674-1056/17/8/004

• GENERAL • 上一篇    下一篇

Complex wave excitations and chaotic patterns for a general (2+1)-dimensional Korteweg--de Vries system

马松华, 方建平, 郑春龙   

  1. Department of Physics, Zhejiang Lishui University, Lishui 323000, China
  • 收稿日期:2008-02-01 修回日期:2008-03-03 出版日期:2008-08-20 发布日期:2008-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10172056), the Natural Science Foundation of Zhejiang Province, China (Grant No Y604106), the Foundation of New Century 151 Talent Engineering of Zhejiang Province, the Scientific Research Foundation of Zhejiang Provincial Education Department of China (Grant No 20070568) and the Natural Science Foundation of Zhejiang Lishui University (Grant No KZ04008).

Complex wave excitations and chaotic patterns for a general (2+1)-dimensional Korteweg--de Vries system

Ma Song-Hua(马松华)†, Fang Jian-Ping(方建平), and Zheng Chun-Long(郑春龙)   

  1. Department of Physics, Zhejiang Lishui University, Lishui 323000, China
  • Received:2008-02-01 Revised:2008-03-03 Online:2008-08-20 Published:2008-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10172056), the Natural Science Foundation of Zhejiang Province, China (Grant No Y604106), the Foundation of New Century 151 Talent Engineering of Zhejiang Province, the Scientific Research Foundation of Zhejiang Provincial Education Department of China (Grant No 20070568) and the Natural Science Foundation of Zhejiang Lishui University (Grant No KZ04008).

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摘要： Starting from an improved mapping approach and a linear variable separation approach, a new family of exact solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for a general (2+1)-dimensional Korteweg de Vries system (GKdV) is derived. According to the derived solutions, we obtain some novel dromion-lattice solitons, complex wave excitations and chaotic patterns for the GKdV system.

Abstract: Starting from an improved mapping approach and a linear variable separation approach, a new family of exact solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for a general (2+1)-dimensional Korteweg de Vries system (GKdV) is derived. According to the derived solutions, we obtain some novel dromion-lattice solitons, complex wave excitations and chaotic patterns for the GKdV system.

Key words: improved mapping approach, GKdV system, complex wave excitations, chaotic patterns

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations) 05.50.+q (Lattice theory and statistics)