The Generalised mKdV Equations for Level -3 of $\hat{sl}_2$
| dc.creator | Balan, A. | |
| dc.date | 1998-09-08 | |
| dc.date.accessioned | 2026-07-07T06:17:39Z | |
| dc.date.available | 2026-07-07T06:17:39Z | |
| dc.description | A certain generalisation of the hierarchy of mKdV equations (modified KdV), which forms an integrable system, is studied here. This generalisation is based on a Lax operator associated to the equations, with principal components of degrees between -3 and 0. The results are the following ones: 1) an isomorphism between the space of jets of the system and a quotient of ${Sl}_2({\CC}((t)))$; 2) the fact that the monodromy matrixes of the Lax operators have, morover, Poisson brackets given by the trigonometric r-matrix; 3) a definition of the action of screening operators on the densities; 4) an identification of the intersection of the kernel with the integrals of motion. | |
| dc.identifier | https://arxiv.org/abs/solv-int/9809011 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9809011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94457 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | The Generalised mKdV Equations for Level -3 of $\hat{sl}_2$ | |
| dc.type | text |