Published November 12, 2004
| Version v1
Journal article
Factorization methods for noncommutative KP and Toda hierarchy
Description
We show that the solution space of the noncommutative KP hierarchy is the same as that of the commutative KP hierarchy owing to the Birkhoff decomposition of groups over the noncommutative algebra. The noncommutative Toda hierarchy is introduced. We derive the bilinear identities for the Baker-Akhiezer functions and calculate the N-soliton solutions of the noncommutative Toda hierarchy. (letter to the editor)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/L599/a4_45_l02.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/L599/a4_45_l02.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/45/L02;
- PII
- S0305-4470(04)85337-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 45
- Journal Page Range
- p. L599-L604
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36029241
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; COMMUTATION RELATIONS; FACTORIZATION; FUNCTIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SOLITONS
- Descriptors DEC
- MATHEMATICS; QUASI PARTICLES; SPACE