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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: Irene Dorfman
Title: Dirac structures and integrability of nonlinear evolution equations
Additional book information: Nonlinear Science: Theory and Applications, Wiley \& Sons, New York, 1993, vii+176 pp., US$75.00. ISBN 0-471-93893-9.

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

  • [1] E. T. Whittaker, A treatise on the analytical dynamics of particles and rigid bodies, Cambridge Univ. Press, Cambridge, 1937. MR 992404 (90a:01112)
  • [2] A. Weinstein, Symplectic manifolds and their Lagrangian submanifolds, Adv. Math. 6 (1971), 329-346. MR 0286137 (44:3351)
  • [3] R. Brouzet, Systèmes bihamiltoniens et complète intégrabilité en dimension 4, C. R. Acad. Sci. Paris Sér. I Math. 311 (1990), 895-898. MR 1084050 (91j:58071)
  • [4] R. Fernandes, Completely integrable biHamiltonian systems, J. Dynamics Differential Equations 6 (1994), 53-69. MR 1262723 (95c:58092)
  • [5] F. Magri, A simple model of the integral Hamiltonian equation, J. Math. Phys. 19 (1978), 1156-1162. MR 488516 (80a:35112)
  • [6] V. G. Drinfel'd, Quantum groups, Proc. Internat. Congress Math., Berkeley, vol. 1, Amer. Math. Soc., Providence, RI, 1987, pp. 798-820. MR 934283 (89f:17017)
  • [7] P. J. Olver, Canonical forms and integrability of biHamiltonian systems, Phys. Lett. A 148 (1990), 177-187. MR 1068690 (91j:58066)

Review Information:

Reviewer: Peter J. Olver
Journal: Bull. Amer. Math. Soc. 31 (1994), 305-308
DOI: https://doi.org/10.1090/S0273-0979-1994-00539-7
American Mathematical Society