Nonpolynomial potentials with deformable topological structures
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We construct models of self-interacting scalar fields whose Bogomol'nyi-Prasad-Sommerfeld solutions exhibit kink profiles which can be continuously deformed into two kinks by varying one of the parameters of the self-interacting potential. The effective models are obtained from other models with two interacting scalar fields. The effective models are then applied in a brane-world scenario where we analyze the consequences of the thicker branes in the warped geometry and in the localization of gravity.