中国物理B ›› 2007, Vol. 16 ›› Issue (1): 6-15.doi: 10.1088/1009-1963/16/1/002

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Complexiton solutions of the (2+1)-dimensional dispersive long wave equation

范恩贵1, 陈勇2   

  1. (1)Institute of Mathematics, Fudan University, Shanghai 200433, China; (2)Nonlinear Science Center and Department of　Mathematics, Ningbo University,Ningbo 315211, China;Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2005-09-12 修回日期:2006-05-31 出版日期:2007-02-01 发布日期:2007-02-01
  • 基金资助:
    Project supported by China Postdoctoral Science Foundation, Natural Science Foundation of Zhejiang Province of China (Grant No Y604056) and Ningbo Doctoral Foundation of China (Grant No 2005A610030).

Complexiton solutions of the (2+1)-dimensional dispersive long wave equation

Chen Yong(陈勇)a)c)† and Fan En-Gui(范恩贵)b)   

  1. a Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China; b Institute of Mathematics, Fudan University, Shanghai 200433, Chinac Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2005-09-12 Revised:2006-05-31 Online:2007-02-01 Published:2007-02-01
  • Supported by:
    Project supported by China Postdoctoral Science Foundation, Natural Science Foundation of Zhejiang Province of China (Grant No Y604056) and Ningbo Doctoral Foundation of China (Grant No 2005A610030).

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摘要： In this pager a pure algebraic method implemented in a computer algebraic system, named multiple Riccati equations rational expansion method, is presented to construct a novel class of complexiton solutions to integrable equations and nonintegrable equations. By solving the (2+1)-dimensional dispersive long wave equation, it obtains many new types of complexiton solutions such as various combination of trigonometric periodic and hyperbolic function solutions, various combination of trigonometric periodic and rational function solutions, various combination of hyperbolic and rational function solutions, etc.

关键词: multiple Riccati equations rational expansion method, complexiton solution

Abstract: In this pager a pure algebraic method implemented in a computer algebraic system, named multiple Riccati equations rational expansion method, is presented to construct a novel class of complexiton solutions to integrable equations and nonintegrable equations. By solving the (2+1)-dimensional dispersive long wave equation, it obtains many new types of complexiton solutions such as various combination of trigonometric periodic and hyperbolic function solutions, various combination of trigonometric periodic and rational function solutions, various combination of hyperbolic and rational function solutions, etc.

Key words: multiple Riccati equations rational expansion method, complexiton solution

中图分类号:  (Integrable systems)

  • 02.30.Ik
02.10.-v (Logic, set theory, and algebra) 02.30.Jr (Partial differential equations)