Deformation-induced changes in asymptotics of kinks

Author:

Vakhid A. Gani, Aliakbar Moradi Marjaneh

Keyword:

Nonlinear Sciences, Pattern Formation and Solitons, Pattern Formation and Solitons (nlin.PS), High Energy Physics - Theory (hep-th)

journal:

date:

2024-01-07 00:00:00

Abstract

We study transformational properties of kink solutions of field-theoretic models with a real scalar field in (1+1)-dimensional space-time. We show how to obtain new models with kinks with different asymptotic behaviour at spatial infinities, using deformation procedure with special deformation function. In particular, starting from the well-known $\varphi^4$ model, we obtain kinks with super-exponential, super-super-exponential, power-law, and logarithmic asymptotics.

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