Pure-quartic Bragg solitons in chip-scale nonlinear integrated circuits

J Choi, BU Sohn, E Sahin, GFR Chen, P Xing, DKT Ng… - Optica, 2023 - opg.optica.org
Pure-quartic solitons have gained significant attention recently due to their ability to achieve
higher energy than classical solitons for short pulse durations, leveraging the interaction …

Suppression of soliton collapses, modulational instability and rogue-wave excitation in two-Lévy-index fractional Kerr media

M Zhong, Y Chen, Z Yan… - Proceedings of the …, 2024 - royalsocietypublishing.org
We introduce a generalized fractional nonlinear Schrödinger (FNLS) equation for the
propagation of optical pulses in laser systems with two fractional-dispersion/diffraction terms …

Solitary waves in optical fibers governed by higher-order dispersion

VI Kruglov, JD Harvey - Physical Review A, 2018 - APS
An exact solitary wave solution is presented for the nonlinear Schrödinger equation
governing the propagation of pulses in optical fibers including the effects of second-, third …

Even-order dispersion solitons: A pedagogical note

CM de Sterke, A Blanco-Redondo - Optics Communications, 2023 - Elsevier
In conventional temporal optical solitons the effect of the nonlinearity is balanced by that of
quadratic dispersion. In recent work we have considered solitons that balance the …

Formation and propagation of fundamental and vortex soliton families in 1D and 2D dual-Lévy-index fractional nonlinear Schrödinger equations with cubic–quintic …

M Zhong, Y Chen, Z Yan, BA Malomed - Physica D: Nonlinear Phenomena, 2024 - Elsevier
We address effects of interplay of two different fractional-diffraction terms, corresponding to
different Lé vy indices (LIs), in the framework of nonlinear Schrödinger equation (NLSE) with …

Period-doubling bifurcation to chaos in a pure-sextic soliton fiber laser

LH Chen, ZX Zhang, ZJ Cai, YT Yang, JH Liu… - Infrared Physics & …, 2023 - Elsevier
We numerically investigate the dynamics of period-doubling bifurcation to chaos in a pure-
sextic soliton (PSS) fiber laser dominated by sixth-order dispersion (SOD). By properly …

Bilayer dispersion-flattened waveguides with four zero-dispersion wavelengths

Y Guo, Z Jafari, AM Agarwal, LC Kimerling, G Li… - Optics Letters, 2016 - opg.optica.org
We propose a new type of bilayer dispersion-flattened waveguides that have four zero-
dispersion wavelengths. Low and flat dispersion can be achieved by using two different …

Pure quartic three-dimensional spatiotemporal Kerr solitons in graded-index media

P Parra-Rivas, Y Sun, F Mangini, M Ferraro, M Zitelli… - Physical Review A, 2024 - APS
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 …

Fractional-order effect on soliton wave conversion and stability for the two-Lévy-index fractional nonlinear Schrödinger equation with PT-symmetric potential

F Yu, L Li, J Zhang, J Yan - Physica D: Nonlinear Phenomena, 2024 - Elsevier
We investigate a variable-coefficient fractional nonlinear Schrödinger (vc-FNLS) equation
with Wadati potential and PT-symmetric potential. We find the Lévy index can be used to …

Periodic and localized waves in parabolic-law media with third-and fourth-order dispersions

H Triki, VI Kruglov - Physical Review E, 2022 - APS
Considering the higher-order nonlinearity is essential in a broad range of real physical
media as it significantly influences the wave dynamics in these systems. We study the …