Year: 2025
Type: article
Abstract: We study a family of periodic traveling wave solution of a pure quartic generalized nonlinear Schrödinger equation (NLSE). We focus on dn-oidal-like solutions with a nonzero average component. After numerically finding a one-parameter family of solutions and comparing it to their conventional NLSE counterpart, we numerically solve the corresponding modulational instability problem. This shows a nontrivial trend, where the instability occurs in specific intervals of the parameter separated by stability islands. Numerical simulations confirm the soundness of this result, thus proving that high-order dispersion terms in an optical waveguide allow to observe the propagation of regular and stable comb-like spectra.
Source: Optics Letters
DOI: 10.1364/ol.563491
Author: Andrea Armaroli
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4410498399