Published October 15, 2007 | Version v1
Journal article Metadata-only

Prolongation Structure of Semi-discrete Nonlinear Evolution Equations

Creators

  • 1. Institute of Mathematics, Henan University, Kaifeng 475004 (China)
  • 2. Department of Mathematics, Capital Normal University, Beijing 100037 (China)
  • 3. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080 (China)

Description

Based on noncommutative differential calculus, we present a theory of prolongation structure for semi-discrete nonlinear evolution equations. As an illustrative example, a semi-discrete model of the nonlinear Schroedinger equation is discussed in terms of this theory and the corresponding Lax pairs are also given.

Availability note (English)

Available from http://dx.doi.org/10.1088/0253-6102/48/4/003

Additional details

Identifiers

DOI
10.1088/0253-6102/48/4/003;

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
48
Journal Issue
4
Journal Page Range
p. 591-600
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42056948
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMMUTATION RELATIONS; DIFFERENTIAL CALCULUS; MATHEMATICAL EVOLUTION; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS