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.
Received: 01 February 2008
Revised: 03 March 2008
Accepted manuscript online:
Fund: 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).
Cite this article:
Ma Song-Hua(马松华), Fang Jian-Ping(方建平), and Zheng Chun-Long(郑春龙) Complex wave excitations and chaotic patterns for a general (2+1)-dimensional Korteweg--de Vries system 2008 Chin. Phys. B 17 2767
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