Work

Supratransmission of rogue wave-like breathing solitons

Year: 2025

Type: article

Abstract: Supratransmission is a fascinating and counterintuitive nonlinear wave phenomenon that enables energy transmission through frequency band gaps. Recent studies have suggested that supratransmission in a damped-driven Klein–Gordon equation can lead to the formation of rogue waves. In this work, we reduce the same model to a damped and driven discrete nonlinear Schrödinger equation and demonstrate that the claimed rogue waves are unstable solitons exhibiting breathing dynamics. Through extensive numerical simulations, we thoroughly investigate and analyze the behavior of solitons and supratransmission in these lattices. Additionally, we perform asymptotic analysis to explain the underlying mechanism responsible for supratransmission. Our findings provide new insights into the dynamics of nonlinear waves and their stability in such systems. • Investigating supratransmission of rogue waves in damped, driven nonlinear systems. • Simulations and asymptotic analysis reveal the mechanism behind supratransmission. • Previous rogue wave claims identified as unstable breathing solitons.

Source: Chaos Solitons & Fractals

DOI: 10.1016/j.chaos.2025.116452

Authors: Abrari Noor Hasmi, Hadi Susanto

Institutions: Khalifa University of Science and Technology, University of Indonesia

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,970

Funder: Khalifa University of Science, Technology and Research