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# Soliton solutions with real poles in the Alekseev formulation of the inverse scattering method

preprint
posted on 16.02.2006, 11:52 by Salvatore Micciche, Jerry Griffiths
A 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.

• Science

## Department

• Mathematical Sciences

132309 bytes

1999

## Notes

This is a pre-print. It is also available at: http://xxx.soton.ac.uk/abs/gr-qc/9909074.

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