Published September 28, 2001
| Version v1
Journal article
The Cartan covering and complete integrability of the KdV-MKdV system
Creators
- 1. University of Twente, Faculty of Mathematical Sciences, P.O. Box 217, 7500 AE Enschede (Netherlands)
Description
The coupled KdV-mKdV system arises as the classical part of one of superextensions of the KdV equation. For this system, we prove its complete integrability, i.e., existence of a recursion operator and of infinite series of symmetries. After giving a short introduction into the theory of symmetries, coverings, and the notion of Cartan-covering, the recursion operator will be constructed as a symmetry in the Cartan covering of the KdV-mKdV system
Additional details
Identifiers
- DOI
- 10.1063/1.1419346;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 589
- Journal Issue
- 1
- Journal Page Range
- p. 425-438
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- 37. Karpacz winter school of theoretical physics on new developments in fundamental interaction theories
- Dates
- 6-15 Feb 2001
- Place
- Karpacz (Poland)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35073844
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- KORTEWEG-DE VRIES EQUATION; MATHEMATICAL LOGIC; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; SUPERSYMMETRY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY
Optional Information
- Notes
- (c) 2001 American Institute of Physics.