Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
| dc.creator | Prytula, Vladyslav | |
| dc.creator | Vekslerchik, Vadym | |
| dc.creator | Perez-Garcia, Victor M. | |
| dc.date | 2008-07-03 | |
| dc.date.accessioned | 2026-07-07T09:48:13Z | |
| dc.date.available | 2026-07-07T09:48:13Z | |
| dc.description | Using theoretical arguments, we prove the numerically well-known fact that the eigenvalues of all localized stationary solutions of the cubic-quintic 2D+1 nonlinear Schrodinger equation exhibit an upper cut-off value. The existence of the cut-off is inferred using Gagliardo-Nirenberg and Holder inequalities together with Pohozaev identities. We also show that, in the limit of eigenvalues close to zero, the eigenstates of the cubic-quintic nonlinear Schrodinger equation behave similarly to those of the cubic nonlinear Schrodinger equation. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/0807.0510 | |
| dc.identifier | http://arxiv.org/abs/0807.0510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164132 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation | |
| dc.type | text |