Published August 1977
| Version v1
Journal article
The soliton connection
Creators
- 1. Open Univ., Milton Keynes (UK)
- 2. Warsaw Univ. (Poland). Instytut Fizyki Teoretycznej
- 3. King's Coll., London (UK). Dept. of Mathematics
Description
It is pointed out that the linear scattering problem for a non-linear evolution equation which admits soliton solutions may be described in terms of a linear connection on a principal SL(2,R)-bundle. The equation in question is satisfied if and only if the curvature of this connection vanishes. Some other properties of the curvature are identified. The sine-Gordon, Korteweg-de Vries and modified Korteweg-de Vries equations are treated explicitly. (Auth.)
Additional details
Identifiers
- DOI
- 10.1007/bf00420665;
Publishing Information
- Journal Title
- Letters in Mathematical Physics
- Journal Volume
- 2
- Journal Issue
- 1
- Series
- Lett. Math. Phys.
- Journal Page Range
- 15-19
- ISSN
- 0377-9017
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 9366256
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENFUNCTIONS; INVERSE SCATTERING PROBLEM; KORTEWEG-DE VRIES EQUATION; LIE GROUPS; MATRIX ELEMENTS; SINE-GORDON EQUATION; SOLITONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; QUASI PARTICLES; SYMMETRY GROUPS
Optional Information
- Notes
- Updated automatically by Metadata and Full-Text Enrichment Agent