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Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations

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arxiv hep-th/0608169 v2 pith:EEAMQ6ZU submitted 2006-08-24 hep-th

Shinya Tomizawa , Hideo Iguchi , Takashi Mishima This is my paper
classification hep-th
keywords generatedsolutionsacklundeinsteinequationsfive-dimensionalinversemethod
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We give the relation between the solutions generated by the inverse scattering method and the B\"acklund transformation applied to the vacuum five-dimensional Einstein equations. In particular, we show that the two-solitonic solutions generated from an arbitrary diagonal seed by the B\"acklund transformation are contained within those generated from the same seed by the inverse scattering method.

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