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. |
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| 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] |
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| Database: | Engineering Source |
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