The Extended Bigraded Toda hierarchy
| dc.creator | Carlet, Guido | |
| dc.date | 2006-04-11 | |
| dc.date | 2008-11-04 | |
| dc.date.accessioned | 2026-07-07T10:15:12Z | |
| dc.date.available | 2026-07-07T10:15:12Z | |
| dc.description | We generalize the Toda lattice hierarchy by considering N+M dependent variables. We construct roots and logarithms of the Lax operator which are uniquely defined operators with coefficients that are $ε$-series of differential polynomials in the dependent variables, and we use them to provide a Lax pair definition of the extended bigraded Toda hierarchy. Using R-matrix theory we give the bihamiltonian formulation of this hierarchy and we prove the existence of a tau function for its solutions. Finally we study the dispersionless limit and its connection with a class of Frobenius manifolds on the orbit space of the extended affine Weyl groups of the $A$ series. | |
| dc.description | 32 pages, corrected typos | |
| dc.identifier | https://arxiv.org/abs/math-ph/0604024 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0604024 | |
| dc.identifier | J. Phys. A: Math. Gen. 39 (2006) 9411-9435 | |
| dc.identifier | doi:10.1088/0305-4470/39/30/003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173102 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.subject | 37K10, 53D45 | |
| dc.title | The Extended Bigraded Toda hierarchy | |
| dc.type | text |