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

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish
Article number103124
Issue number10
StatePublished - 1 Oct 2019


FundersFunder number
Fundação de Amparo à Pesquisa do Estado de São Paulo2017/26646-5, 2016/03276-5
Israel Science Foundation1287/17


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