Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations
Wu Xiao-Feia, Zhu Jia-Minb, Ma Zheng-Yib
a College of Information, Zhejiang Lishui
University, Lishui 323000, China; b College of Information, Zhejiang Lishui
University, Lishui 323000, China;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
Published: 20 August 2007
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, Zhu Jia-Min, Ma Zheng-Yi Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations 2007 Chin. Phys. 16 2159