Exceptional discretisations of the sine-Gordon equation
| dc.creator | Barashenkov, I. V. | |
| dc.creator | van Heerden, T. C. | |
| dc.date | 2008-03-05 | |
| dc.date.accessioned | 2026-07-07T09:24:53Z | |
| dc.date.available | 2026-07-07T09:24:53Z | |
| dc.description | Recently, the method of one-dimensional maps was introduced as a means of generating exceptional discretisations of the $ϕ^4$-theories, i.e., discrete $ϕ^4$-models which support kinks centred at a continuous range of positions relative to the lattice. In this paper, we employ this method to obtain exceptional discretisations of the sine-Gordon equation (i.e. exceptional Frenkel-Kontorova chains). We also use one-dimensional maps to construct a discrete sine-Gordon equation supporting kinks moving with arbitrary velocities without emitting radiation. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0803.0603 | |
| dc.identifier | http://arxiv.org/abs/0803.0603 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156224 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Exceptional discretisations of the sine-Gordon equation | |
| dc.type | text |