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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Inverse scattering transform for the Toda hierarchy with quasi-periodic background
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by Iryna Egorova, Johanna Michor and Gerald Teschl PDF
Proc. Amer. Math. Soc. 135 (2007), 1817-1827 Request permission

Abstract:

We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy in the case of a quasi-periodic finite-gap background solution.
References
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Additional Information
  • Iryna Egorova
  • Affiliation: Kharkiv National University, 47 Lenin ave, 61164 Kharkiv, Ukraine
  • MR Author ID: 213624
  • Email: egorova@ilt.kharkov.ua
  • Johanna Michor
  • Affiliation: Faculty of Mathematics, Nordbergstrasse 15, 1090 Wien, Austria – and – International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria
  • Email: Johanna.Michor@esi.ac.at
  • Gerald Teschl
  • Affiliation: Faculty of Mathematics, Nordbergstrasse 15, 1090 Wien, Austria – and – International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria
  • Email: Gerald.Teschl@univie.ac.at
  • Received by editor(s): December 1, 2005
  • Received by editor(s) in revised form: February 7, 2006
  • Published electronically: November 7, 2006
  • Additional Notes: This work was supported by the Austrian Science Fund (FWF) under Grant No. P17762 and INTAS Research Network NeCCA 03-51-6637.
  • Communicated by: Joseph A. Ball
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1817-1827
  • MSC (2000): Primary 37K15, 37K10; Secondary 47B36, 34L25
  • DOI: https://doi.org/10.1090/S0002-9939-06-08668-0
  • MathSciNet review: 2286092