Duke Mathematical Journal

Matrix elliptic solitons

Armando Treibich
Source: Duke Math. J. Volume 90, Number 3 (1997), 523-547.
First Page: Show Hide
Primary Subjects: 14H40
Secondary Subjects: 14H52, 14J26, 58F07
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077232813
Mathematical Reviews number (MathSciNet): MR1480545
Zentralblatt MATH identifier: 0909.35116
Digital Object Identifier: doi:10.1215/S0012-7094-97-09014-1

References

[1] I. Krichever, O. Babelon, E. Billey, and M. Talon, Spin generalization of the Calogero-Moser system and the matrix KP equation, Topics in topology and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, vol. 170, Amer. Math. Soc., Providence, RI, 1995, pp. 83–119.
Mathematical Reviews (MathSciNet): MR96k:58115
Zentralblatt MATH: 0843.58069
[2] R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol. 52, Springer-Verlag, New York, 1977.
Mathematical Reviews (MathSciNet): MR57:3116
Zentralblatt MATH: 0367.14001
[3] I. M. Kričever, Integration of nonlinear equations by the methods of algebraic geometry, Funkcional. Anal. i Priložen. 11 (1977), no. 1, 15–31, 96, Russian.
Mathematical Reviews (MathSciNet): MR58:13168
[4] I. M. Kričever, Elliptic solutions of the Kadomcev-Petviašvili equations, and integrable systems of particles, Funktsional. Anal. i Prilozhen. 14 (1980), no. 4, 45–54, 95.
Mathematical Reviews (MathSciNet): MR82e:58046
Zentralblatt MATH: 0462.35080
[5] J. P. Serre, Groupes algébriques et corps de classes, Publications de l'institut de mathématique de l'université de Nancago, VII. Hermann, Paris, 1959.
Mathematical Reviews (MathSciNet): MR21:1973
Zentralblatt MATH: 0097.35604
[6] A. O. Smirnov, Finite-gap elliptic solutions of the KdV equation, Acta Appl. Math. 36 (1994), no. 1-2, 125–166.
Mathematical Reviews (MathSciNet): MR96c:35173
Zentralblatt MATH: 0828.35119
Digital Object Identifier: doi:10.1007/BF01001546
[7] A. Treibich, Tangential polynomials and elliptic solitons, Duke Math. J. 59 (1989), no. 3, 611–627.
Mathematical Reviews (MathSciNet): MR91k:58059
Zentralblatt MATH: 0698.14029
Digital Object Identifier: doi:10.1215/S0012-7094-89-05928-0
Project Euclid: euclid.dmj/1077308161
[8] A. Treibich and J. L. Verdier, Solitons elliptiques, The Grothendieck Festschrift, Vol. III, Progr. Math., vol. 88, Birkhäuser Boston, Boston, MA, 1990, pp. 437–480.
Mathematical Reviews (MathSciNet): MR92f:14026
Zentralblatt MATH: 0726.14024
[9] A. Treibich and J. L. Verdier, Variétés de Kritchever des solitons elliptiques de KP, Proceedings of the Indo-French Conference on Geometry (Bombay, 1989), Hindustan Book Agency, Delhi, 1993, pp. 187–232.
Mathematical Reviews (MathSciNet): MR95f:14062
Zentralblatt MATH: 0837.14011

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