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Dissipative bright and dark pulses under periodic forcing
Lukas Bengel, Björn de Rijk
We analyze the existence and stability of bright and dark pulses in a damped nonlinear Schrödinger (NLS) equation with periodic forcing. This Lugiato-Lefever equation is a canonica…
Dynamics of dissipative periodic optical waves in an external potential
Lukas Bengel
The paper analyzes how periodic wave solutions of a damped‑driven nonlinear Schrödinger equation with a small spatial transport term evolve, showing they stay close to translated c…
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…
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…