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Download fileSoliton solutions with real poles in the Alekseev formulation of the inverse scattering method
preprint
posted on 2006-02-16, 11:52 authored by Salvatore Micciche, Jerry GriffithsA new approach to the inverse-scattering technique of Alekseev is presented which permits
real-pole soliton solutions of the Ernst equations to be considered. This is achieved by
adopting distinct real poles in the scattering matrix and its inverse. For the case in which
the electromagnetic field vanishes, some explicit solutions are given using a Minkowski seed
metric. The relation with the corresponding soliton solutions that can be constructed using
the Belinskii-Zakharov inverse-scattering technique is determined.
History
School
- Science
Department
- Mathematical Sciences
Pages
132309 bytesPublication date
1999Notes
This is a pre-print. It is also available at: http://xxx.soton.ac.uk/abs/gr-qc/9909074.Language
- en