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Algebraic Aspects of Integrable Systems - In Memory of Irene Dorfman (Paperback, Softcover reprint of the original 1st ed. 1997)
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Discovery Miles 15 780
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Algebraic Aspects of Integrable Systems - In Memory of Irene Dorfman (Paperback, Softcover reprint of the original 1st ed. 1997)
Series: Progress in Nonlinear Differential Equations and Their Applications, 26
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Total price: R1,598
Discovery Miles: 15 980
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Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing
her beautiful book on Dirac structures [I]. The present volume
contains a collection of papers aiming at celebrating her
outstanding contributions to mathematics. Her most important
discoveries are associated with the algebraic structures arising in
the study of integrable equations. Most of the articles contained
in this volume are in the same spirit. Irene, working as a student
of Israel Gel'fand made the fundamental dis- covery that
integrability is closely related to the existence of bi-Hamiltonian
structures [2], [3]. These structures were discovered
independently, and al- most simultaneously, by Magri [4] (see also
[5]). Several papers in this book are based on this remarkable
discovery. In particular Fokas, Olver, Rosenau construct large
classes on integrable equations using bi-Hamiltonian struc- tures,
Fordy, Harris derive such structures by considering the restriction
of isospectral flows to stationary manifolds and Fuchssteiner
discusses similar structures in a rather abstract setting.
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