Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations
Abstract (englisch):
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 | Fakultät für Mathematik (MATH) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 04.2026 |
| Sprache | Englisch |
| Identifikator | ISSN: 0167-2789 KITopen-ID: 1000189738 |
| Erschienen in | Physica D: Nonlinear Phenomena |
| Verlag | Elsevier |
| Band | 488 |
| Seiten | 135079 |
| Vorab online veröffentlicht am | 23.12.2025 |
| Schlagwörter | Nonlinear stability, Periodic waves, Lugiato-Lefever equation, Nonlinear Schrödinger equations, Nonlocalized perturbations, Tooth problem |
| Nachgewiesen in | Web of Science OpenAlex |
| Relationen in KITopen |