Exact soliton solutions of the discrete modified Korteweg-de Vries (mKdV) equation

被引：3
|
作者：
Zhang, Yufeng [1 ]
Mei, Jianqin [2 ]
Hon, Y. C. [3 ]
机构：
[1] China Univ Min & Technol, Coll Sci, Xuzhou 221116, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[3] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
PHYSICS ESSAYS | 2010年 / 23卷 / 02期
关键词：
Soliton Solution; Discrete mKdV Equation; Elliptic Function; DIFFERENTIAL-DIFFERENCE EQUATIONS; INTEGRABLE SEMI-DISCRETIZATION; RATIONAL FORMAL SOLUTIONS; PERIODIC-WAVE SOLUTIONS; MODIFIED KDV EQUATIONS; TODA EQUATION; LATTICE; SYSTEM;
D O I：
10.4006/1.3371247
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By employing elliptic functions and hyperbolic functions, some exact periodic wave solutions, kink-type soliton solutions, and other types of exact traveling-wave solutions to the discrete modified Korteweg-de Vries equation are obtained by using homogenous balance principle. The way presented in the paper can be used to other differential-difference equations extensively. (C) 2010 Physics Essays Publication. [DOI: 10.4006/1.3371247]
引用
收藏
页码：276 / 284
页数：9
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