2022/02/11 by Chong Liu, Shaochun Chen, Shao-Chun Chen +2
Earth and Planetary Sciences · Physics and Astronomy · #Acoustics #Computer science #Degenerate energy levels #Excitation #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Ocean Waves and Remote Sensing #Physics #Quantum mechanics #Rogue wave #nlin.PS #nlin.SI #physics.optics
paper · pdf · doi:10.1016/j.physd.2022.133192
published as Physica D 433 (2022) 133192 · 8pages,6figures
openalex publication_date 2022/02/11 · arxiv created 2022/03/08 · arxiv updated 2022/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In multi-component systems, several rogue waves can be simultaneously excited using simple initial conditions in the form of a plane wave with a small amplitude single-peak perturbation. This is in drastic contrast with the case of multi-rogue waves of a single nonlinear Schrödinger equation (or other evolution equations) that require highly specific initial conditions to be used. This possibility arises due to the higher variety of rogue waves in multi-components systems each with individual eigenvalue of the inverse scattering technique. In theory, we expand the limited class of Peregrine-type solutions to a much larger family of non-degenerate rogue waves. The results of our work may explain the increased chances of appearance of rogue waves in crossing sea states (wind generated ocean gravity waves that form nonparallel wave systems along the water surface) as well as provide new possibilities of rogue wave observation in a wide range of multi-component physical systems such as multi-component Bose-Einstein condensates, multi-component plasmas and in birefringent optical fibres.