2025/10/10 by Casana, R., da Hora, E., Simas, F. C.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pattern Formation and Solitons (nlin.PS)
paper · doi:10.48550/arxiv.2510.09856
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 ϕ4, ϕ6, and sine-Gordon superpotentials. In all cases, the resulting double-kinks approach the boundaries 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 ϕ4 and sine-Gordon superpotentials. Whereas, for the ϕ6 superpotential, the BPS energy profiles form asymmetric two-lumps.