Quasiclassical quantisation and radiative decay of sine-Gordon solitons pinned by a micro-inhomogeneity

Y. S. Kivshar*, B. A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Dynamics of a sine-Gordon kink and small-amplitude breather bound on an attractive localised inhomogeneity are studied. The rates of energy emission from the kink oscillating near the inhomogeneity and from a quiescent breather performing internal oscillations are calculated. In the semiclassical approximation, discrete quantised energy spectra for the solitons of both types are found, with regard to field-theory corrections to a kink's particle-like spectrum and to strong distortion of the breather's shape. The rates of radiative energy emission are interpreted as finite widths of the quantised quasiclassical energy levels. Oscillations of the breather as a whole near the inhomogeneity are also considered.

Original languageEnglish
Article number018
Pages (from-to)1553-1561
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume21
Issue number7
DOIs
StatePublished - 1988

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