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

被引：3
|
作者：
College of Information, Zhejiang Lishui University, Lishui 323000, China [1 ]
不详 [2 ]
机构：
来源：
Chin. Phys. | 2007年 / 8卷 / 2159-2166期
关键词：
Discrete doubly periodic solutions - Discrete solitary wave solutions - Extended Jacobian elliptic function expansion approach - Semi-discrete coupled mKdV equations;
D O I：
10.1088/1009-1963/16/8/003
中图分类号：
学科分类号：
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 &rarr 1 these doubly periodic solutions degenerate into the corresponding solitary wave solutions, including kink-type, bell-type and other types of excitations. © 2007 Chin. Phys. Soc. and IOP Publishing Ltd.
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