Nonlinear dynamics of periodic Lugiato–Lefever waves against sums of co-periodic and localized perturbations
Abstract:
In recent years, essential progress has been made in the nonlinear stability analysis of periodic Lugiato-Lefever waves against co-periodic and localized perturbations. Inspired by considerations from fiber optics, we introduce a novel iteration scheme which allows to perturb against sums of co-periodic and localized functions. This unifies previous stability theories in a natural manner.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 05.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000181781 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 27 S. |
| Serie | CRC 1173 Preprint ; 2025/17 |
| Projektinformation | SFB 1173, 258734477 (DFG, DFG KOORD, SFB 1173/3) |
| Externe Relationen | Siehe auch |
| Schlagwörter | Nonlinear stability, periodic waves, Lugiato-Lefever equation, nonlinear Schrödinger equations, nonlocalized perturbations, tooth problem |
| Nachgewiesen in | OpenAlex |