arXiv Open Access 2025

Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations

Joannis Alexopoulos

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.AP

Penulis (1)

Joannis Alexopoulos

Format Sitasi

APA MLA BibTeX

Alexopoulos, J. (2025). Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations. https://arxiv.org/abs/2504.20880

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓