Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior

Abstract

We describe a procedure that contributes to modify the asymptotic behavior of kinks in a model described by two real scalar fields. The investigation takes advantage of a first order formalism based on energy minimization to unveil how to modify the asymptotic profile of kinklike configurations. In particular, we show that the exponential tails of standard kinklike configurations can be smoothly modified to engender long range, double exponential, half-compact or compact behavior.

arXiv comment15 pages, 4 figures; to appear in EPJ Plus

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• Exact BPS double-kinks in generalized ${\varphi }^4$, ${\varphi }^6$ and sine-Gordon models
• Kinks in generalized scalar field models and their scattering properties
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
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• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
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• Localized structures in three-field models: geometrically constrained configurations and the first-order framework