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Phys. Rev. Lett. 45, 505–508 (1980)

Generating the Bogomolny-Prasad-Sommerfield One-Monopole Solution by a Bäcklund Transformation

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Peter Forgács
Central Research Institute for Physics, H-1525 Budapest, Hungary

Zalán Horváth and László Palla
Institute for Theoretical Physics, Roland Eötvös University, H-1088 Budapest, Hungary

Received 9 April 1980; published in the issue dated 18 August 1980

It is shown that the Bogomolny equations for the simplest static, axially symmetric gauge fields are equivalent to the Ernst equation. The Bogolmolny-Prasad-Sommerfield one-monopole solution is obtained via Harrison's Bäcklund transformation.

© 1980 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.45.505
DOI:
10.1103/PhysRevLett.45.505
PACS:
11.10.Np, 14.80.Hv, 03.50.Kk