Published February 1980
| Version v1
Journal article
Inverse scattering problems in higher dimensions: Yang--Mills fields and the supersymmetric sine-Gordon equation
Creators
- 1. Department of Mathematics, Oregon State University, Corvallis, Oregon 97331
Description
It is shown that the notion of a prolongation structure can be extended to higher dimensions and used to determine inverse scattering problems. The relationship to generalized Lax representations is also considered. The method is illustrated on the self-dual Yang--Mills equations. A generalization to include Grassman algebra valued variables is shown to provide a scattering problem for the supersymmetric sine-Gordon equation
Additional details
Publishing Information
- Journal Title
- J. Math. Phys. (N.Y.)
- Journal Volume
- 21
- Journal Issue
- 2
- Series
- J. Math. Phys. (N.Y.).
- Journal Page Range
- 327-333
- ISSN
- 0022-2488
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 11530078
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; DUALITY; INVERSE SCATTERING PROBLEM; MANY-DIMENSIONAL CALCULATIONS; SINE-GORDON EQUATION; SUPERSYMMETRY; YANG-MILLS THEORY
- Descriptors DEC
- EQUATIONS; FIELD EQUATIONS; MATHEMATICS; SYMMETRY