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20232026
most citedMultiple front and pulse solutions in spatially periodic systems

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math.AP2023

Stability of solitary wave solutions in the Lugiato-Lefever equation

Lukas Bengel

We analyze the spectral and dynamical stability of solitary wave solutions to the Lugiato-Lefever equation (LLE) on . Our interest lies in solutions that arise through…

math.AP2023

Pinning in the extended Lugiato-Lefever equation

Lukas Bengel, Dmitry Pelinovsky, Wolfgang Reichel

We consider a variant of the Lugiato-Lefever equation (LLE), which is a nonlinear Schrödinger equation on a one-dimensional torus with forcing and damping, to which we add a first-…