Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations  

作　　者：吴晓飞 朱加民 马正义 

机构地区：[1]College of Information, Zhejiang Lishui University, Lishui 323000, China [2]shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

出　　处：《Chinese Physics B》2007年第8期2159-2166,共8页中国物理B（英文版）

基　　金：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）.

摘　　要：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 →1, these doubly periodic solutions degenerate into the corresponding solitary wave solutions, including kink-type, bell-type and other types of excitations.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 →1, these doubly periodic solutions degenerate into the corresponding solitary wave solutions, including kink-type, bell-type and other types of excitations.

关 键 词：semi-discrete coupled mKdV equations extended Jacobian elliptic function expansion approach discrete doubly periodic solutions discrete solitary wave solutions 

分 类 号：O17[理学—数学]