Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations
Wu Xiao-Fei(吴晓飞)a)†, Zhu Jia-Min(朱加民)a)b), and Ma Zheng-Yi(马正义)a)b)
a College of Information, Zhejiang Lishui University, Lishui 323000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract In this paper, the improved Jacobian elliptic function expansion approach is extended and applied to constructing discrete solutions of the semi-discrete coupled modified Korteweg de Vries (mKdV) equations with the aid of the symbolic computation system Maple. Some new discrete Jacobian doubly periodic solutions are obtained. When the modulus $m \rightarrow 1$, these doubly periodic solutions degenerate into the corresponding solitary wave solutions, including kink-type, bell-type and other types of excitations.
Received: 13 November 2006
Revised: 06 January 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10272071) and the Natural Science Foundation of Zhejiang Lishui
University of China (Grant Nos KZ05004 and KY06024).
Cite this article:
Wu Xiao-Fei(吴晓飞), Zhu Jia-Min(朱加民), and Ma Zheng-Yi(马正义) Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations 2007 Chinese Physics 16 2159
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