Hopf solitons on S3 and 3

R S Ward

doi:10.1088/0951-7715/12/2/005

Nonlinearity

Hopf solitons on S³ and ³

R S Ward¹

Published under licence by IOP Publishing Ltd
Nonlinearity, Volume 12, Number 2 Citation R S Ward 1999 Nonlinearity 12 241 DOI 10.1088/0951-7715/12/2/005

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¹ Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, UK

Dates

Received 3 August 1998

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Abstract

The Skyrme-Faddeev system, a modified O(3) sigma model in three space dimensions, admits topological solitons with nonzero Hopf number. One may learn something about these solitons by considering the system on the 3-sphere of radius R. In particular, the Hopf map is a solution which is unstable if .

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