Quasi-periodic solutions of the equation v_{tt}-v_{xx}+v^3=f(v)
| dc.creator | Baldi, Pietro | |
| dc.date | 2005-06-05 | |
| dc.date | 2005-07-06 | |
| dc.date.accessioned | 2026-07-07T05:20:32Z | |
| dc.date.available | 2026-07-07T05:20:32Z | |
| dc.description | We consider 1D completely resonant nonlinear wave equations of the type v_{tt}-v_{xx}=-v^3+O(v^4) with spatial periodic boundary conditions. We prove the existence of a new type of quasi-periodic small amplitude solutions with two frequencies, for more general nonlinearities. These solutions turn out to be, at the first order, the superposition of a traveling wave and a modulation of long period, depending only on time. | |
| dc.description | 20 pages. Corrected some misprints, added a reference, moved Proposition and Lemma 1 from Section 2 to the Appendix | |
| dc.identifier | https://arxiv.org/abs/math/0506089 | |
| dc.identifier | http://arxiv.org/abs/math/0506089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75411 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35L05, 35B15, 37K50 | |
| dc.title | Quasi-periodic solutions of the equation v_{tt}-v_{xx}+v^3=f(v) | |
| dc.type | text |