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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

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MathSciNet review: 3077138
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Fritz Gesztesy and Helge Holden
Title: Soliton equations and their algebro-geometric solutions. Vol. I. $ (1+1)$-dimensional continuous models
Additional book information: Cambridge Studies in Advanced Mathematics, 79, Cambridge University Press, Cambridge, 2003, xii+505 pp., ISBN 0-521-75307-4, US$117.00$

References [Enhancements On Off] (What's this?)

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  • I. M. Gel′fand and L. A. Dikiĭ, Asymptotic properties of the resolvent of Sturm-Liouville equations, and the algebra of Korteweg-de Vries equations, Uspehi Mat. Nauk 30 (1975), no. 5(185), 67–100 (Russian). MR 0508337
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    D.J. Korteweg and G. De Vries, On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves, Phil. Mag. (5) XXXIX (1895), 422-443. JFM 26.0881.02
  • Richard S. Palais, The symmetries of solitons, Bull. Amer. Math. Soc. (N.S.) 34 (1997), no. 4, 339–403. MR 1462745, DOI 10.1090/S0273-0979-97-00732-5
  • Mikio Sato, The KP hierarchy and infinite-dimensional Grassmann manifolds, Theta functions—Bowdoin 1987, Part 1 (Brunswick, ME, 1987) Proc. Sympos. Pure Math., vol. 49, Amer. Math. Soc., Providence, RI, 1989, pp. 51–66. MR 1013125, DOI 10.1090/pspum/049.1/1013125
    • Review Information:

    Reviewer: Emma Previato
    Affiliation: Boston University
    Email: ep@bu.edu
    Journal: Bull. Amer. Math. Soc. 45 (2008), 459-467
    DOI: https://doi.org/10.1090/S0273-0979-08-01179-8
    Published electronically: January 7, 2008
    Review copyright: © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.