Kinks in higher-order polynomial models

Petr A. Blinov, Tatiana V. Gani, Alexander A. Malnev, Vakhid A. Gani and Vladimir B. Sherstyukov

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: We consider a family of field-theoretic models with a real scalar field in (1+1)-dimensional space–time. The field dynamics in each model is determined by a polynomial potential with two degenerate minima. We obtain exact general formulas for kink solutions with power-law asymptotic behavior. We also write out formulas for the asymptotics of all found kinks. In addition, we analyze some other properties of the obtained kinks: stability potentials, zero modes, positions of the centers of mass.

Keywords: Kink; Topological soliton; Domain wall (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922009845

DOI: 10.1016/j.chaos.2022.112805

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