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Exact BPS double-kinks in generalized ϕ4, ϕ6 and sine-Gordon models.

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Title: Exact BPS double-kinks in generalized ϕ4, ϕ6 and sine-Gordon models.
Authors: Casana, R.1,2 (AUTHOR), da Hora, E.1,3 (AUTHOR) edahora.ufma@gmail.com, Simas, Fabiano C.1,2 (AUTHOR)
Source: European Physical Journal C -- Particles & Fields. Feb2026, Vol. 86 Issue 2, p1-11. 11p.
Subjects: Scalar field theory, Sine-Gordon equation, Energy density, Analytical solutions, Field theory (Physics)
Abstract: We consider a (1 + 1) -dimensional theory with a single real scalar field ϕ whose kinematics is modified by a generalizing function f (ϕ) . After briefly reviewing its Bogomol'nyi–Prasad–Sommerfield (BPS) structure, we focus on a particular f (ϕ) to obtain analytic BPS double-kink solutions in three different models governed by the ϕ 4 , ϕ 6 , and sine-Gordon superpotentials. In all cases, the resulting double-kinks approach the vacuum values by following an exponential decay, with the generalizing function controlling its dependence on x and mass. We also calculate the BPS bound explicitly and study how the double kinks behave near the origin. The energy distribution of the novel BPS states engenders symmetric two-lump profiles for the ϕ 4 and sine-Gordon superpotentials. Whereas, for the ϕ 6 superpotential, the BPS energy profiles form asymmetric two-lumps. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Exact BPS double-kinks in generalized ϕ4, ϕ6 and sine-Gordon models.
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Feb2026, Vol. 86 Issue 2, p1-11. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Scalar+field+theory%22">Scalar field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Sine-Gordon+equation%22">Sine-Gordon equation</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+density%22">Energy density</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Field+theory+%28Physics%29%22">Field theory (Physics)</searchLink>
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  Data: We consider a (1 + 1) -dimensional theory with a single real scalar field ϕ whose kinematics is modified by a generalizing function f (ϕ) . After briefly reviewing its Bogomol'nyi–Prasad–Sommerfield (BPS) structure, we focus on a particular f (ϕ) to obtain analytic BPS double-kink solutions in three different models governed by the ϕ 4 , ϕ 6 , and sine-Gordon superpotentials. In all cases, the resulting double-kinks approach the vacuum values by following an exponential decay, with the generalizing function controlling its dependence on x and mass. We also calculate the BPS bound explicitly and study how the double kinks behave near the origin. The energy distribution of the novel BPS states engenders symmetric two-lump profiles for the ϕ 4 and sine-Gordon superpotentials. Whereas, for the ϕ 6 superpotential, the BPS energy profiles form asymmetric two-lumps. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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      – SubjectFull: Sine-Gordon equation
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      – SubjectFull: Energy density
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      – SubjectFull: Analytical solutions
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      – TitleFull: Exact BPS double-kinks in generalized ϕ4, ϕ6 and sine-Gordon models.
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              Text: Feb2026
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              Y: 2026
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