Exact Noncommutative KP and KdV Multi-solitons
| dc.creator | Paniak, L. D. | |
| dc.date | 2001-05-18 | |
| dc.date | 2001-06-01 | |
| dc.date.accessioned | 2026-07-07T04:11:41Z | |
| dc.date.available | 2026-07-07T04:11:41Z | |
| dc.description | We derive the Kadomtsev-Petviashvili (KP) equation defined over a general associative algebra and construct its N-soliton solution. For the example of the Moyal algebra, we find multi-soliton solutions for arbitrary space-space noncommutativity. The noncommutativity of coordinates is shown to obstruct the general construction of a tau function for these solitons. We investigate the two-soliton solution in detail and show that asymptotic observers of soliton scattering are unable to detect a finite spatial noncommutativity. An explicit example shows that a pair of solitons in a noncommutative background can be interpreted as several pairs of image solitons. Finally, a dimensional reduction gives the general N-soliton solution for the previously discussed noncommutative KdV equation. | |
| dc.description | 18 pages LaTeX. Reference added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0105185 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0105185 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50686 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Exact Noncommutative KP and KdV Multi-solitons | |
| dc.type | text |