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

作者：Wu Xiao Fei^*; Zhu Jia Min; Ma Zheng Yi

来源：Chinese Physics, 2007, 16(8): 2159-2166.

• semi-discrete coupled mKdV equations
• extended Jacobian elliptic function expansion approach
• discrete doubly periodic solutions
• discrete solitary wave solutions

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.

• 出版日期2007-8
• 单位丽水学院; 上海大学