Some properties of deformed Sine Gordon models
| dc.creator | Alibek, Akmaral | |
| dc.creator | Myrzakulov, Ratbay | |
| dc.creator | Zakrzewski, W. J. | |
| dc.date | 2008-07-17 | |
| dc.date.accessioned | 2026-07-07T09:50:57Z | |
| dc.date.available | 2026-07-07T09:50:57Z | |
| dc.description | We study some properties of the deformed Sine Gordon models. These models, presented by Bazeia et al, are natural generalisations of the Sine Gordon models in (1+1) dimensions. There are two classes of them, each dependent on a parameter n. For special values of this parameter the models reduce to the Sine Gordon one; for other values of n they can be considered as generalisations of this model. The models are topological and possess one kink solutions. Here we investigate the existence of other solutions of these models - such as breathers. The work is numerical and we find that the breathers, as such, probably do not exist. However, we show that some of these models, namely, the n = 1 of the first class possess breather-like solutions which are quasi-stable; ie these quasi-breathers exist for long periods of time (thousands of periods of oscillations). These results are found to be independent of the discretisation used in the numerical part of our work. | |
| dc.identifier | https://arxiv.org/abs/0807.2715 | |
| dc.identifier | http://arxiv.org/abs/0807.2715 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165122 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Some properties of deformed Sine Gordon models | |
| dc.type | text |