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

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【作者】 马松华方建平郑春龙

【Author】 Ma Song-Hua , Fang Jian-Ping, and Zheng Chun-Long Department of Physics, Zhejiang Lishui University, Lishui 323000, China

【机构】 Department of Physics, Zhejiang Lishui University

【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.

【基金】 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);the Natural Science Foundation of Zhejiang Lishui University (Grant No KZ04008)
  • 【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2008年08期
  • 【分类号】O415.5
  • 【被引频次】14
  • 【下载频次】26
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