https://doi.org/10.1140/epjc/s10052-026-15362-3
Regular Article - Theoretical Physics
Exact BPS double-kinks in generalized 
, 
and sine-Gordon models
1
Programa de Pós-graduação em Física, Universidade Federal do Maranhão, 65080-805, São Luís, Maranhão, Brazil
2
Coordenação do Curso de Física-Bacharelado, Universidade Federal do Maranhão, 65080-805, São Luís, Maranhão, Brazil
3
Coordenação do Curso de Bacharelado Interdisciplinar em Ciência e Tecnologia, Universidade Federal do Maranhão, 65080-805, São Luís, Maranhão, Brazil
a
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Received:
3
November
2025
Accepted:
25
January
2026
Published online:
8
February
2026
Abstract
We consider a 
-dimensional theory with a single real scalar field 
whose kinematics is modified by a generalizing function 
. After briefly reviewing its Bogomol’nyi–Prasad–Sommerfield (BPS) structure, we focus on a particular to obtain analytic BPS double-kink solutions in three different models governed by the , , 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 and sine-Gordon superpotentials. Whereas, for the superpotential, the BPS energy profiles form asymmetric two-lumps.
© The Author(s) 2026
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