2007.151: Reductions of integrable equations: dihedral group
2007.151: S. Lombardo and A.V. Mikhailov (2004) Reductions of integrable equations: dihedral group. Journal of Physics A: Mathematical and General, 37 (31). pp. 7727-7742. ISSN 0305-4770
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 192 Kb |
DOI: 10.1088/0305-4470/37/31/006
Abstract
We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions of Lax equations we associate a reduction group—a group of automorphisms of the corresponding infinite-dimensional Lie algebra. We present a complete study of dihedral reductions for sl(2,{\bb C}) Lax operators with simple poles and corresponding integrable equations. In the last section we give three examples of dihedral reductions for sl(N,{\bb C}) Lax operators.
| Item Type: | Article |
|---|---|
| Subjects: | PACS 2003 > 02 Mathematical methods in physics |
| MIMS number: | 2007.151 |
| Deposited By: | Mrs Louise Healey |
| Deposited On: | 16 November 2007 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item