84 citations · 498 across the 33 of their papers we have counts for
13 papers · 1 filter
Implications of tristability on localization phenomena: a necking bifurcation's tale
Edem Kossi Akakpo, Marc Haelterman, Francois Leo +1
We analyze the implication of tristability on localization phenomena in one-dimensional extended dissipative systems. In this context, localized states appear due to the interactio…
Dissipative solitons characterization in singly resonant optical parametric oscillators: a variational formalism
Pedro Parra-Rivas
In this work, the emergence of single-peak temporal dissipative solitons in singly-resonant degenerate optical parametric oscillators is investigated analytically. Applying the Kan…
Pure quartic three-dimensional spatiotemporal Kerr solitons
Pedro Parra-Rivas, Yifan Sun, Fabio Mangini +3
We analyze the formation of three-dimensional spatiotemporal solitons in waveguides with a parabolic refractive index profile and pure quartic chromatic dispersion. We show, by app…
Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides
Pedro Parra-Rivas, Yifan Sun, Stefan Wabnitz
In this work, we present a detailed study of the dynamics and stability of fundamental spatiotemporal solitons emerging in multimode waveguides with a parabolic transverse profile…
Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion
Edem Kossi Akakpo, Marc Haelterman, Francois Leo +1
We theoretically investigate the dynamics, bifurcation structure and stability of dark localized states emerging in Kerr cavities in the presence of second- and fourth-order disper…
Transitions between dissipative localized structures in the simplified Gilad-Meron model for dryland plant ecology
Fahad Al Saadi, Pedro Parra-Rivas
Spatially extended patterns and multistability of possible different states is common in many ecosystems, and their combination has an important impact on their dynamical behaviour…
Quartic Kerr cavity combs: Bright and dark solitons
Pedro Parra-Rivas, Sabrina Hetzel, Yaroslav V. Kartashov +4
We theoretically investigate the dynamics, bifurcation structure and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the norma…
Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis
Jesús Yelo Sarrión, François Leo, Simon-Pierre Gorza +1
We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose-Hubbard dimer model. This model successfully describes the nonlinear d…
Dissipative localized states and breathers in phase mismatched singly resonant optical parametric oscillators: Bifurcation structure and stability
P. Parra-Rivas, C. Mas Arabí, F. Leo
We study the emergence of dissipative localized states in phase mismatched singly resonant optical parametric oscillators. These states arise in two different bistable configuratio…
Influence of Stimulated Raman Scattering on Kerr domain walls and localized structures
P. Parra-Rivas, S. Coulibaly, M. G. Clerc +1
We investigate the influence of the stimulated Raman scattering on the formation of bright and dark localized states in all-fiber resonators subject to a coherent optical injection…
Localized structures formed through domain wall locking in cavity-enhanced second-harmonic generation
C. Mas Arabí, P. Parra-Rivas, T. Hansson +3
We analyze the formation of localized structures in cavity-enhanced second-harmonic generation. We focus on the phase-matched limit, and consider that fundamental and generated wav…
Parametric localized patterns and breathers in dispersive quadratic cavities
P. Parra-Rivas, C. Mas-Arabí, F. Leo
We study the formation of localized patterns arising in doubly resonant dispersive optical parametric oscillators. They form through the locking of fronts connecting a continuous-w…
Formation of localized states in dryland vegetation: Bifurcation structure and stability
P. Parra-Rivas, C. Fernandez-Oto
In this paper, we study theoretically the emergence of localized states of vegetation close to the onset of desertification. These states are formed through the locking of vegetati…