Analysis of the response of damped and parametrically driven, strongly anharmonic Klein-Gordon chain - Part 1: Phase locked traveling breathers

M. Gzal, V. Kislovsky, M.A. Hasan and Y. Starosvetsky

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: In the present study, we analyze a special type of phase-locked, compact-like, moving breather solution emerging in damped, strongly nonlinear Klein-Gordon chains subjected to parametric traveling-wave excitation. Given the strongly anharmonic nature of the system under consideration, multi-scale analysis of various nonlinear wave phenomena emerging in this model becomes a highly nontrivial task. In this work, we derive the two distinct analytical approaches that enable the analytical characterization of moving, damped-driven breather solutions. As is evident from the results of the present study, the moving breather solutions forming in the damped-driven lattice under consideration are unidirectional. Moreover, their dynamics is fully controlled by the parameters of the applied, traveling wave-like, parametric excitation. These special properties of strongly localized solutions provide the new means for active spatial-temporal control of these strongly localized wave structures.

Keywords: Strongly anharmonic Klein-Gordon chain; Parametric excitation; Compact-like moving breather; Multi-scale analysis; Discrete p-Schrodinger equation; Log-NLS (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s096007792201205x

DOI: 10.1016/j.chaos.2022.113026

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