154 citations · 1.2k across the 39 of their papers we have counts for
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Observation of the Eckhaus Instability in Whispering-Gallery Mode Resonators
Damià Gomila, Pedro Parra-Rivas, Pere Colet +6
The Eckhaus instability is a secondary instability of nonlinear spatiotemporal patterns in which high-wavenumber periodic solutions become unstable against small-wavenumber perturb…
Interaction of solitons and the formation of bound states in the generalized Lugiato-Lefever equation
P. Parra-Rivas, D. Gomila, P. Colet +1
Bound states, also called soliton molecules, can form as a result of the interaction between individual solitons. This interaction is mediated through the tails of each soliton tha…
Front interaction induces excitable behavior
P. Parra-Rivas, M. A. Matias, P. Colet +3
Spatially extended systems can support local transient excitations in which just a part of the system is excited. The mechanisms reported so far are local excitability and excitati…
Formation of localized structures in bistable systems through nonlocal spatial coupling II: The nonlocal Ginzburg Landau Equation
Lendert Gelens, Manuel A. Matias, Damia Gomila +2
We study the influence of a linear nonlocal spatial coupling on the interaction of fronts connecting two equivalent stable states in the prototypical 1-D real Ginzburg-Landau equat…
Formation of localized structures in bistable systems through nonlocal spatial coupling I: General framework
Pere Colet, Manuel A. Matias, Lendert Gelens +1
The present work studies the influence of nonlocal spatial coupling on the existence of localized structures in 1-dimensional extended systems. We consider systems described by a r…
Dissipative soliton excitability induced by spatial inhomogeneities and drift
P. Parra-Rivas D. Gomila, M. A. Matias, P. Colet
We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do n…