Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishWe conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by using a discrete multiscale analysis. The lowest order secularity conditions from the multiscale expansion give a partial differential equation of the form of a nonlinear Schrodinger (NLS) equation. If the starting lattice equation is integrable then the resulting NLS-type equation turns out to be integrable, while if the starting equation is linearizable we get a linear Schrodinger equation. On the other hand, if we start with a non-integrable lattice equation the resulting equation can be both integrable and non-integrable. This conjecture is confirmed by many examples.
Heredero RH, Levi D, Petrera M, & Scimiterna C (2008). Multiscale expansion on the lattice and integrability of partial difference equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 41(31).
| Titolo: | Multiscale expansion on the lattice and integrability of partial difference equations |
| Autori: | |
| Data di pubblicazione: | 2008 |
| Rivista: | |
| Citazione: | Heredero RH, Levi D, Petrera M, & Scimiterna C (2008). Multiscale expansion on the lattice and integrability of partial difference equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 41(31). |
| Abstract: | We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by using a discrete multiscale analysis. The lowest order secularity conditions from the multiscale expansion give a partial differential equation of the form of a nonlinear Schrodinger (NLS) equation. If the starting lattice equation is integrable then the resulting NLS-type equation turns out to be integrable, while if the starting equation is linearizable we get a linear Schrodinger equation. On the other hand, if we start with a non-integrable lattice equation the resulting equation can be both integrable and non-integrable. This conjecture is confirmed by many examples. |
| Handle: | http://hdl.handle.net/11590/136940 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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