Istituto di Biofisica     
Di Garbo A., Barbi M., Chillemi S., Fronzoni L. Dynamical properties of a kink of the Sine-Gordon equation trapped in a potential well. In: Nonlinear analysis, vol. 47 (9) pp. 5967 - 5978. Elsevier, 2001.
The dynamical properties of a link of the Sine-Gordon equation trapped in a potential well and interacting with a periodic spatial in inhomogeneity are investigated. It is shown that the description of the kink motion of obtain by the abiabatic approximation breaks down. This is explained in term of changes in the link form due to the presence of such perturbations. We will show that in the presence of spatial periodic inhomogeneity there are parameter ranges where complex behaviour of the kink dynamics is observed. More over, when the spatial periodic perturbation is swhiched off for each kink initial velocity the radiation emission corresponding to well defined wave number is inhibited.
DOI: 10.1016/S0362-546X(01)00696-4
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