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By A.S. Fokas,I.M. Gelfand

Irene Dorfman died in Moscow on April 6, 1994, almost immediately after seeing her attractive ebook on Dirac constructions [I]. the current quantity incorporates a selection of papers aiming at celebrating her extraordinary contributions to arithmetic. Her most vital discoveries are linked to the algebraic constructions coming up within the learn of integrable equations. lots of the articles contained during this quantity are within the similar spirit. Irene, operating as a pupil of Israel Gel'fand made the elemental dis covery that integrability is heavily on the topic of the lifestyles of bi-Hamiltonian constructions [2], [3]. those buildings have been came across independently, and al such a lot concurrently, by means of Magri [4] (see additionally [5]). numerous papers during this publication are in accordance with this notable discovery. particularly Fokas, Olver, Rosenau build huge sessions on integrable equations utilizing bi-Hamiltonian struc tures, Fordy, Harris derive such constructions via contemplating the restrict of isospectral flows to desk bound manifolds and Fuchssteiner discusses comparable constructions in a slightly summary setting.

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Algebraic Aspects of Integrable Equations Honoring the Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications) by A.S. Fokas,I.M. Gelfand


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