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)
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
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.
Received: 12 September 2005
Revised: 31 May 2006
Accepted manuscript online:
Fund: 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).
Cite this article:
Chen Yong(陈勇) and Fan En-Gui(范恩贵) Complexiton solutions of the (2+1)-dimensional dispersive long wave equation 2007 Chinese Physics 16 6
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