A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation
| dc.creator | Chakravarty, Sarbarish | |
| dc.creator | Kodama, Yuji | |
| dc.date | 2008-02-04 | |
| dc.date | 2008-05-05 | |
| dc.date.accessioned | 2026-07-07T09:36:35Z | |
| dc.date.available | 2026-07-07T09:36:35Z | |
| dc.description | This work describes a classification of the $N$-soliton solutions of the Kadomtsev-Petviashvili II equation in terms of chord diagrams of N chords joining pairs of 2N points. The different classes of N-solitons are enumerated by the distribution of crossings of the chords. The generating function of the chord diagrams is expressed as a continued fraction, special cases of which are moment generating functions for certain kinds of $q$-orthogonal polynomials. | |
| dc.description | 18 pages, 4 figures. Added some minor comments. To appear in AMS Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/0802.0524 | |
| dc.identifier | http://arxiv.org/abs/0802.0524 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160171 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Mathematical Physics | |
| dc.subject | Combinatorics | |
| dc.title | A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation | |
| dc.type | text |