Journal article 978 views
Generalized Drinfel'd-Sokolov hierarchies
Communications in Mathematical Physics, Volume: "145", Issue: 1, Pages: 57 - 84
Swansea University Author:
Timothy Hollowood
Full text not available from this repository: check for access using links below.
DOI (Published version): 10.1007/BF02099281
Abstract
A general approach is adopted to the construction of integrable hierarchies of partial differential equations. A series of hierarchies associated to untwisted Kac-Moody algebras, and conjugacy classes of the Weyl group of the underlying finite Lie algebra, is obtained. The generalized KdV hierarchie...
| Published in: | Communications in Mathematical Physics |
|---|---|
| ISSN: | 0010-3616 1432-0916 |
| Published: |
1991
|
| Online Access: |
Check full text
|
| URI: | https://cronfa.swan.ac.uk/Record/cronfa28599 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract: |
A general approach is adopted to the construction of integrable hierarchies of partial differential equations. A series of hierarchies associated to untwisted Kac-Moody algebras, and conjugacy classes of the Weyl group of the underlying finite Lie algebra, is obtained. The generalized KdV hierarchies of V.G. Drinfel'd and V.V. Sokolov are obtained as the special case for the Coxeter element. Various examples of the general formalism are treated in some detail; including the fractional KdV |
|---|---|
| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
57 |
| End Page: |
84 |