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math.AP2025
Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation
Lukas Bengel, Björn de Rijk
Kerr frequency combs are optical signals consisting of a multitude of equally spaced excited modes in frequency space. They are generated by converting a continuous-wave pump laser…
math.AP2025★ 1 cited
Multiple front and pulse solutions in spatially periodic systems
Lukas Bengel, Björn de Rijk
In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semi…