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: solitons
DOI: 10.1016/S0362-546X(01)00696-4

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