Published February 2004
| Version v1
Journal article
Baecklund transformation of the noncommutative Gelfand-Dickey hierarchy
Creators
- 1. Department of Mathematics, University of Science and Technology of China, Hefei (China)
Description
We study the Baecklund transformation of the noncommutative Gelfand-Dickey(ncGD) hierarchy. By factorizing its Lax operator into the multiplication form of first order differential operator, the noncommutative modified KdV(ncMKdV) hierarchy and the Miura transformations are defined. Our results show that the ncMKdV equations are invariant under the cyclic permutation, and hence induces the Baecklund transformation of the ncGD hierarchy. (author)
Availability note (English)
Available online at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of High Energy Physics
- Journal Volume
- 02
- Journal Issue
- 2004
- Journal Page Range
- [11 p.]
- ISSN
- 1126-6708
INIS
- Country of Publication
- Italy
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35033472
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BAECKLUND TRANSFORMATION; COMMUTATION RELATIONS; FACTORIZATION; FIELD EQUATIONS; FIELD OPERATORS
- Descriptors DEC
- EQUATIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; TRANSFORMATIONS
Optional Information
- Contract/Grant/Project number
- Project 10101025; 10301030
- Notes
- 20 refs