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arXiv · 2301.11746

Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion

Edem Kossi Akakpo·Marc Haelterman·Francois Leo·Pedro Parra-Rivas
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Abstract

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 dispersion. These states form through the locking of uniform wave fronts, or domain walls, connecting two coexisting stable uniform states. They undergo a generic bifurcation structure known as collapsed homoclinic snaking. We characterize the robustness of these states by computing their stability and bifurcation structure as a function of the main control parameter of the system. Furthermore, we show that by increasing the dispersion of fourth order, bright localized states can be also stabilized.

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Edem Kossi Akakpo, Marc Haelterman, Francois Leo, Pedro Parra-Rivas. 2023-01-27. Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion. https://doi.org/10.1103/physreve.108.014203

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