2025/02/07 by Veldes, George P., V. Koukouloyannis, Koukouloyannis, Vassilis +4
Physics and Astronomy · #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Nonlinear Waves and Solitons #Optical properties and cooling technologies in crystalline materials #Pattern Formation and Solitons (nlin.PS)
paper · pdf · doi:10.48550/arxiv.2502.04707
openalex publication_date 2025/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present work extends earlier considerations on a quintessential model of cold, collisionless plasmas, namely the Adlam-Allen model. Previously, an analysis of homoclinic solutions around a non-vanishing background (associated with a saddle equilibrium) led to a Korteweg-de Vries reduction. Here, we consider a different equilibrium of the co-traveling frame model, namely a center, and expanding around it, by means of a multiple-scale methodology and suitable scalings, leads to an effective defocusing nonlinear Schrödinger equation. Leveraging the latter, we construct, for the first time to our knowledge, physically realistic dark soliton waveforms of the Adlam-Allen model. We subsequently test the numerical evolution of such coherent structures, identifying them as long-lived waveforms of the full model.