Published February 2010 | Version v1
Journal article Metadata-only

Lie Point Symmetries and Exact Solutions of the Coupled Volterra System

Creators

  • 1. Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402 (China)
  • 2. Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)

Description

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. (general)

Availability note (English)

Available from http://dx.doi.org/10.1088/0256-307X/27/2/020202

Additional details

Identifiers

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

Publishing Information

Journal Title
Chinese Physics Letters
Journal Volume
27
Journal Issue
2
Journal Page Range
[4 p.]
ISSN
0256-307X
CODEN
CPLEEU

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
45000475
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOSE-EINSTEIN CONDENSATION; CALCULATION METHODS; EXACT SOLUTIONS; FLUIDS; INTEGRAL CALCULUS; KORTEWEG-DE VRIES EQUATION; LIE GROUPS; SOLITONS; SYMMETRY; VOLTERRA INTEGRAL EQUATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; SYMMETRY GROUPS