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arXiv · 2211.08240

Kinks in higher-order polynomial models

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

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Petr A. Blinov, Tatiana V. Gani, Alexander A. Malnev, Vakhid A. Gani, Vladimir B. Sherstyukov. 2022-10-31. Kinks in higher-order polynomial models. https://doi.org/10.1016/j.chaos.2022.112805

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