UNICA IRIS Institutional Research Information System
IRIS è il sistema di gestione integrata dei dati della ricerca (persone, progetti, pubblicazioni, attività) adottato dall'Università degli Studi di Cagliari dal mese di luglio 2015.
EnglishIn this article we develop the direct and inverse scattering theory of a discrete matrix Zakharov-Shabat system with solutions U n and W n . Contrary to the discretization scheme enacted by Ablowitz and Ladik, a central difference scheme is applied to the positional derivative term in the matrix Zakharov-Shabat system to arrive at a different discrete linear system. The major effect of the new discretization is that we no longer need the following two conditions in theories based on the Ablowitz-Ladik discretization: (a) invertibility of I N −U n W n and I M −W n U n , and (b) I N −U n W n and I M −W n U n being nonzero multiples of the respective identity matrices I N and I M
An alternative approach to integrable discrete nonlinear Schroedinger equations / Demontis F; van der Mee C. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - 127:1(2013), pp. 169-191.
| Titolo: | An alternative approach to integrable discrete nonlinear Schroedinger equations |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Rivista: | |
| Citazione: | An alternative approach to integrable discrete nonlinear Schroedinger equations / Demontis F; van der Mee C. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - 127:1(2013), pp. 169-191. |
| Abstract: | In this article we develop the direct and inverse scattering theory of a discrete matrix Zakharov-Shabat system with solutions U n and W n . Contrary to the discretization scheme enacted by Ablowitz and Ladik, a central difference scheme is applied to the positional derivative term in the matrix Zakharov-Shabat system to arrive at a different discrete linear system. The major effect of the new discretization is that we no longer need the following two conditions in theories based on the Ablowitz-Ladik discretization: (a) invertibility of I N −U n W n and I M −W n U n , and (b) I N −U n W n and I M −W n U n being nonzero multiples of the respective identity matrices I N and I M |
| Handle: | http://hdl.handle.net/11584/104105 |
| Tipologia: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 183.pdf | N/A | Non specificato | Administrator Richiedi una copia |
http://hdl.handle.net/11584/104105
Copyright © 2021