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

Salvatore Micciche', Miccichè, Griffiths

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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 Belinskiǐ-Zakharov inverse-scattering technique is determined.
Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalClassical and Quantum Gravity
Volume17
Publication statusPublished - 2000

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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