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Creating oscillons and oscillating kinks in two scalar field theories

Authors: Correa, R. A. C.; de Souza Dutra, A.; Frederico, T.; Malomed, Boris A.; Oliveira, O.; Sawado, N.

Ref.: Chaos: An Interdisciplinary Journal of Nonlinear Science 29(10), 103124 (2019)

Abstract: Oscillons are time-dependent, localized in space, extremely long-lived states in nonlinear scalar-field models, while kinks are topological solitons in one spatial dimension. In the present work, we show new classes of oscillons and oscillating kinks in a system of two nonlinearly coupled scalar fields in 1 + 1 spatiotemporal dimensions. The solutions contain a control parameter, the variation of which produces oscillons and kinks with a flat-top shape. The model finds applications in condensed matter, cosmology, and high-energy physics. Published under license by AIP Publishing.

DOI: 10.1063/1.5120500

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