Connections between kinks with different asymptotics

\n\nIn this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kinks in models with a real scalar field in two-dimensional space-time. We show how to obtain new models with solitons having different asymptotic behavior, using deformations with specific functions. In particular, starting from the well-known $\\varphi ^{4}$ model, we obtain kinks with super-exponential, super-super-exponential, power-law, and logarithmic asymptotics. We also comment on how asymptotic behavior of stability potential and zero mode can be obtained for deformed kinks.\n

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Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-10-16
DOI
https://doi.org/10.1209/0295-5075/ad8183/pdf
Primary Topic
Nonlinear Photonic Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Connections between kinks with different asymptotics

Springer Link (Chiba Institute of Technology)
Nonlinear Photonic Systems
article

Connections between kinks with different asymptotics

article en

Abstract

\n\nIn this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kinks in models with a real scalar field in two-dimensional space-time. We show how to obtain new models with solitons having different asymptotic behavior, using deformations with specific functions. In particular, starting from the well-known $\\varphi ^{4}$ model, we obtain kinks with super-exponential, super-super-exponential, power-law, and logarithmic asymptotics. We also comment on how asymptotic behavior of stability potential and zero mode can be obtained for deformed kinks.\n

Springer Link (Chiba Institute of Technology)
Kurchatov Institute (RU), Islamic Azad University Quchan (IR), National Research Nuclear University MEPhI (RU)
Islamic Azad University, Ministry of Science and Higher Education of the Russian Federation
Openalex Percentile: Top 67%
Nonlinear Photonic Systems
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