Lie Point Symmetries and Exact Solutions of the Coupled Volterra System

被引：19

作者：

Liu Ping ^{[1
]}

Lou Sen-Yue ^{[2
,3
]}

机构：

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

[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200240, Peoples R China

[3] Ningbo Univ, Fac Sci, Ningbo 315211, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2010年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

WATER WAVE SYSTEM; DIFFERENCE-EQUATIONS; MKDV EQUATIONS; KDV;

D O I：

10.1088/0256-307X/27/2/020202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The coupled Volterra system, an integrable discrete form of a coupled Korteweg-de Vries (KdV) system applied widely in fluids, Bose-Einstein condensation and atmospheric dynamics, is studied with the help of the Lie point symmetries. Two types of delayed differential reduction systems are derived from the coupled Volterra system by means of the symmetry reduction approach and symbolic computation. Cnoidal wave and solitary wave solutions for a delayed differential reduction system and the coupled Volterra system are proposed, respectively.

引用

页数：4

共 14 条

[1]

Ding W, 2004, COMMUN THEOR PHYS, V41, P645

[2] Continuous symmetries of difference equations [J].