Supratransmission of rogue wave-like breathing solitons

Abrari Noor Hasmi and Hadi Susanto

Chaos, Solitons & Fractals, 2025, vol. 197, issue C

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.

Keywords: Supratransmission; Discrete nonlinear Schrödinger equation; Soliton; Rogue waves; Lugiato–Levefer equation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:197:y:2025:i:c:s0960077925004655

DOI: 10.1016/j.chaos.2025.116452

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