Dynamical properties of a kink of the Sine-Gordon equation trapped in a potential well
Year: 2001
Authors: Di Garbo A., Barbi M., Chillemi S., Fronzoni L.
Autors Affiliation: CNR – Istituto di Biofisica, 56010 Ghezzano, Pisa Italy;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Università di Pisa, Dipartimento di Fisica, 56100 Pisa, Italy
Abstract: The dynamical properties of a kink of the Sine-Gordon equation trapped in a potential well and interacting with a periodic spatial inhomogeneity are investigated. It is shown that the description of the kink motion obtained by the adiabatic approximation breaks down. This fact is explained in term of changes in the kink 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. Moreover, when the spatial periodic perturbation is switched off for each kink initial velocity the radiation emission corresponding to well defined wave number is inhibited.
Journal/Review: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume: 47 (9) Pages from: 5967 to: 5978
KeyWords: solitonsDOI: 10.1016/S0362-546X(01)00696-4Connecting to view paper tab on IsiWeb: Click here