Rotationally symmetric numerical solutions to the sine-Gordon equation

O. H. Olsen, Mogens Rugholm Samuelsen

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Abstract

We examine numerically the properties of solutions to the spherically symmetric sine-Gordon equation given an initial profile which coincides with the one-dimensional breather solution and refer to such solutions as ring waves. Expanding ring waves either exhibit a return effect or expand towards infinity. This can be explained by means of a perturbation approach. For a moderate initial radius of the shrinking ring wave we find an evolution of pulson modes. The ring waves are shown to survive the interaction between other ring waves.
Original languageEnglish
JournalPhysical Review A
Volume23
Issue number6
Pages (from-to)3296-3302
ISSN2469-9926
DOIs
Publication statusPublished - 1981

Bibliographical note

Copyright (1981) by the American Physical Society.

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