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

页码：276 / 284

页数：9

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