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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.20880 |
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| _version_ | 1866908343177576448 |
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| author | Alexopoulos, Joannis |
| author_facet | Alexopoulos, Joannis |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations Alexopoulos, Joannis Analysis of PDEs 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. |
| title | Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.20880 |