Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models by F. C. E. Lima, R. Casana, C. A. S. Almeida

“…., solutions possessing a Bogomol’nyi–Prasad–Sommerfield’s bound. Next, to accomplish our goal, we adopt non-polynomial generalizing functions, namely, hyperbolic sine and cosine functions: the first produce BPS potentials exhibiting a minimum at $$\phi =0$$ ϕ = 0 , facilitating the emergence of genuine double-kink-type configurations. …”
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