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Book Review
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Book Information
Author(s):
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:
-
- [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)
Additional Information:
Reviewer(s):
Peter J.
Olver
Review Information:
Journal:
Bull. Amer. Math. Soc.
31
(1994),
305-308.
DOI:
10.1090/S0273-0979-1994-00539-7
PII:
S 0273-0979(1994)00539-7
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