Soliton Solutions with Real Poles in the Alekseev formulation of the Inverse-Scattering method

Details Soliton Solutions with Real Poles in the Alekseev formulation of the Inverse-Scattering method Soliton Solutions with Real Poles in the Alekseev formulation of the Inverse-Scattering method

1999-09-22

arxiv.org/abs/gr-qc/9909074v1

Class.Quant.Grav. 17 (2000) 1-9

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTeX

Scientific paper

10.1088/0264-9381/17/1/301

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.

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