Stability of solitary wave solutions in the Lugiato-Lefever equation
type: Item
instance of: scholarly article
title: Stability of solitary wave solutions in the Lugiato-Lefever equation
zbMATH Open document ID: 1547.35167
author: Lukas Bengel
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2024-08-08T00:00:00Z
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 7894011
zbMATH Keywords: stability
zbMATH Keywords: bifurcation theory
zbMATH Keywords: Lugiato-Lefever equation
MaRDI profile type: Publication
cites work: Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability
cites work: Existence threshold for the ac-driven damped nonlinear Schrödinger solitons
cites work: Pinning in the extended Lugiato-Lefever equation
cites work: Photonic chip–based optical frequency comb using soliton Cherenkov radiation
cites work: Q4800029
cites work: Count of eigenvalues in the generalized eigenvalue problem
cites work: Q4610413
cites work: Periodic waves of the Lugiato–Lefever equation at the onset of Turing instability
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: On the Barashenkov-Bogdan-Zhanlav solitons and their stability
cites work: NLS and KdV Hamiltonian linearized operators: a priori bounds on the spectrum and optimal \(L^2\) estimates for the semigroups
cites work: Soliton Solutions for the Lugiato–Lefever Equation by Analytical and Numerical Continuation Methods
cites work: Global continua of solutions to the Lugiato-Lefever model for frequency combs obtained by two-mode pumping
cites work: On the Generation of Stable Kerr Frequency Combs in the Lugiato--Lefever Model of Periodic Optical Waveguides
cites work: Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves
cites work: Nonlinear modulational dynamics of spectrally stable Lugiato-Lefever periodic waves
cites work: Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
cites work: Spectral and dynamical stability of nonlinear waves
cites work: Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
cites work: Interpolation Theory
cites work: A Priori Bounds and Global Bifurcation Results for Frequency Combs Modeled by the Lugiato--Lefever Equation
cites work: Bifurcation analysis to the Lugiato-Lefever equation in one space dimension
cites work: Low-dimensional chaos in a driven damped nonlinear Schrödinger equation
cites work: Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator
cites work: On the Spectrum of C 0 -Semigroups
cites work: Asymptotic stability for spectrally stable Lugiato-Lefever solitons in periodic waveguides
cites work: Stability and Bifurcation of Spatially Coherent Solutions of the Damped-Driven NLS Equation
DOI: 10.1007/S00033-024-02273-0
description: scientific article; zbMATH DE number 7894011