Creating oscillons and oscillating kinks in two scalar field theories

R. A.C. Correa; A. De Souza Dutra; T. Frederico; Boris A. Malomed; O. Oliveira; N. Sawado

doi:10.1063/1.5120500

Creating oscillons and oscillating kinks in two scalar field theories

R. A.C. Correa, A. De Souza Dutra, T. Frederico, Boris A. Malomed, O. Oliveira, N. Sawado

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	103124
Journal	Chaos
Volume	29
Issue number	10
DOIs	https://doi.org/10.1063/1.5120500
State	Published - 1 Oct 2019

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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.",

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AU - Frederico, T.

AU - Malomed, Boris A.

AU - Oliveira, O.

AU - Sawado, N.

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AB - 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.

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Creating oscillons and oscillating kinks in two scalar field theories

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