Published October 2012 | Version v1
Journal article Metadata-only

Integrable nonlinear differential-difference hierarchy and Darboux transformation

Creators

  • 1. School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 100876 (China)
  • 2. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876 (China)

Description

In this paper, with a free function embedded into a discrete zero-curvature equation, an integrable nonlinear differential-difference hierarchy is derived via the extension of original hierarchy with symbolic computation. Based on the Lax pair, infinitely many conservation laws and Darboux transformations are constructed for the first nonlinear differential-difference equations in the hierarchy. As an application of the Darboux transformation, some explicit solutions of those sample equations are given.

Availability note (English)

Available from http://dx.doi.org/10.1088/0031-8949/86/04/045001

Additional details

Identifiers

DOI
10.1088/0031-8949/86/04/045001;

Publishing Information

Journal Title
Physica Scripta (Online)
Journal Volume
86
Journal Issue
4
Journal Page Range
[6 p.]
ISSN
1402-4896

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44041091
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CALCULATION METHODS; CONSERVATION LAWS; EQUATIONS; INTEGRAL CALCULUS; LAX THEOREM; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; TRANSFORMATIONS
Descriptors DEC
MATHEMATICS