A Coupled Hybrid Lattice: Its Related Continuous Equation and Symmetries

被引：10

作者：

Liu Ping ^{[1
]}

Fu Pei-Kai ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Zhongshan Inst, Dept Elect Engn, Zhongshan 528402, Peoples R China

[2] Zhongshan Polytech, Acad Affairs Div, Zhongshan 528404, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 01期

基金：

中国国家自然科学基金;

关键词：

coupled hybrid lattice; symmetries; discrete KdV equation; DIFFERENCE-EQUATIONS; KDV; DISCRETE; SYSTEM;

D O I：

10.1088/0253-6102/56/1/02

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation in this paper. The coupled hybrid lattice, which is pointed to be a discrete coupled KdV system, is also found to be discrete form of a coupled mKdV systems. Delayed differential reduction system and pure difference systems are derived from the coupled hybrid system by means of the symmetry reduction approach. Cnoidal wave, positon and negaton solutions for the coupled hybrid system are proposed.

引用

页码：5 / 10

页数：6

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