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We consider the change in the asymptotic behavior of solutions of the type offlat domain walls (i.e., kink solutions) in field-theoretic models with a realscalar field. We show that when the model is deformed by a bounded deformingfunction, the exponential asymptotics of the corresponding kink solutionsremain exponential, while the power-law ones remain power-law. However, theparameters of these asymptotics, which are related to the wall thickness, canchange.

Domain wall thickness and deformations of the field model