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Hyperelliptic Theta Functions and Spectral Methods

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Ernst Equation and Riemann Surfaces

Part of the book series: Lecture Notes in Physics ((LNP,volume 685))

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Abstract

The solutions to the Ernst equation discussed in the previous chapters are given in terms of multi–dimensional theta functions. Though theta–functional solutions to integrable equations are known since the beginning of the seventies for equations like KdV, the work with these solutions admittedly has not reached the importance of solitons.

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Klein, C. Hyperelliptic Theta Functions and Spectral Methods. In: Ernst Equation and Riemann Surfaces. Lecture Notes in Physics, vol 685. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11540953_6

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  • DOI: https://doi.org/10.1007/11540953_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28589-2

  • Online ISBN: 978-3-540-31513-1

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