Hypergeometric tau functions $τ({\bf t},T,{\bf t}^*)$ as $\infty$-soliton tau function in T variables
| dc.creator | Orlov, A. Yu. | |
| dc.date | 2003-04-30 | |
| dc.date | 2003-12-01 | |
| dc.date.accessioned | 2026-07-07T05:34:43Z | |
| dc.date.available | 2026-07-07T05:34:43Z | |
| dc.description | We consider KP tau function of hypergeometric type $τ({\bf t},T,{\bf t}^*)$, where the set ${\bf t}$ is the KP higher times and $T,{\bf t}^*$ are sets of parameters. Fixing ${\bf t}^*$, we find that $τ({\bf t},T,{\bf t}^*)$ is an infinite-soliton solution of different (dual) multi-component KP (and TL) hierarchy, where the roles of the variables ${\bf t}$ and $T$ are interchanged. When $τ({\bf t},T,{\bf t}^*)$ is a polynomial in ${\bf t}$, we obtain a $N$-soliton solution of the dual hierarchy. Parameters of the solitons are related to the Frobenius coordinates of partitions in the Schur function development of $τ({\bf t},T,{\bf t}^*)$. | |
| dc.description | Latex, 24 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0305001 | |
| dc.identifier | http://arxiv.org/abs/nlin/0305001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80475 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Hypergeometric tau functions $τ({\bf t},T,{\bf t}^*)$ as $\infty$-soliton tau function in T variables | |
| dc.type | text |