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

Salvatore Micciche', Griffiths, Miccichè

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2 Citazioni (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.
Lingua originaleEnglish
pagine (da-a)1-9
Numero di pagine9
RivistaClassical and Quantum Gravity
Volume17
Stato di pubblicazionePublished - 2000

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inverse scattering
poles
solitary waves
formulations
S matrix theory
seeds
electromagnetic fields

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cita questo

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title = "Soliton solutions with real poles in the Alekseev formulation of the inverse-scattering method",
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.",
author = "Salvatore Micciche' and Griffiths and Miccich{\`e}",
year = "2000",
language = "English",
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journal = "Classical and Quantum Gravity",
issn = "0264-9381",
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T1 - Soliton solutions with real poles in the Alekseev formulation of the inverse-scattering method

AU - Micciche', Salvatore

AU - Griffiths, null

AU - Miccichè, null

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/201967

M3 - Article

VL - 17

SP - 1

EP - 9

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

ER -