Published May 11, 2007
| Version v1
Journal article
Non-local continuity equations and binary Darboux transformation of noncommutative (anti) self-dual Yang-Mills equations
Creators
- 1. Department of Physics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590 (Pakistan)
Description
We present an infinite number of non-local continuity equations of noncommutative (anti) self-dual Yang-Mills (nc-(A)SDYM) equations using the induction method of Brezin et al (1979 Phys. Lett. B 82 442) and relate it to the Lax pair and the parametric Baecklund transformation of the system. From the Lax pair, we derive a binary Darboux transformation to generate solutions of the nc-(A)SDYM equations
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/19/019;
- PII
- S1751-8113(07)35613-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 19
- Journal Page Range
- p. 5205-5217
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38068963
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BAECKLUND TRANSFORMATION; COMMUTATION RELATIONS; CONTINUITY EQUATIONS; MATHEMATICAL SOLUTIONS; YANG-MILLS THEORY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; TRANSFORMATIONS