2022/01/16 by Gennadiy Burlak, Zhaopin Chen, Boris A. Malomed
Mathematics · Physics and Astronomy · #Computer science #Coupling (piping) #Geometry #Materials science #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Soliton #Stability (learning theory) #Symmetry (geometry) #nlin.PS #physics.optics
paper · pdf · doi:10.1016/j.cnsns.2022.106282
To be published in Commun. Nonlin. Sci. and Num. Sim
arxiv created 2022/01/16 · openalex publication_date 2022/01/25 · arxiv updated 2022/03/02 · openalex created_date 2022/04/03 · openalex updated_date 2026/08/05
We construct families of one-dimensional (1D) stable solitons in two-component PT-symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light propagation in a dual-core waveguide with skewed coupling between the cores. Stability regions for the solitons are identified in the system's parameter space. They include the main semi-infinite gap, and an additional finite annex gap. Stability boundaries are identified by means of simulations of the perturbed evolution, which agree with results produced by the linear-stability analysis for small perturbations. Distinct evolution scenarios are identified for unstable solitons. Generally, they suffer blowup or decay, while weakly unstable solitons transform into breathers. Due to a regularizing effect of SOC, stationary solitons are also found beyond the exceptional point, at which the PT symmetry breaks down, but they are unstable. Interactions between adjacent solitons are explored too, featuring rebound or merger followed by blowup. Slowly moving (tilted) solitons develop weak oscillations, while fast ones are completely unstable. Also considered is the reduced diffractionless system, which creates only unstable solitons.