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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.
- [2]
- A. Weinstein, Symplectic manifolds and their Lagrangian submanifolds, Adv. Math. \textbf{6} (1971), 329--346.
- [3]
- R. Brouzet, Syst\`emes bihamiltoniens et compl\`ete int\'egrabilit\'e en dimension \RM 4, C. R. Acad. Sci. Paris S\'er. I Math. \textbf{311} (1990), 895--898.
- [4]
- R. Fernandes, Completely integrable biHamiltonian systems, J. Dynamics Differential Equations \textbf{6} (1994), 53--69.
- [5]
- F. Magri, A simple model of the integral Hamiltonian equation, J. Math. Phys. \textbf{19} (1978), 1156--1162.
- [6]
- V. G. Drinfel\cprime d, \emph{Quantum groups}, Amer. Math. Soc., Providence, RI, 1987 pp.~798--820.
- [7]
- P. J. Olver, Canonical forms and integrability of biHamiltonian systems, Phys. Lett. A \textbf{148} (1990), 177--187.
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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