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

Irene Dorfman died in Moscow on April 6, 1994, presently after seeing her attractive ebook on Dirac constructions [I]. the current quantity features a number of papers aiming at celebrating her extraordinary contributions to arithmetic. Her most vital discoveries are linked to the algebraic buildings bobbing up within the research of integrable equations. lots of the articles contained during this quantity are within the related spirit. Irene, operating as a pupil of Israel Gel'fand made the basic dis covery that integrability is heavily with regards to the life of bi-Hamiltonian buildings [2], [3]. those buildings have been stumbled on independently, and al such a lot concurrently, through Magri [4] (see additionally [5]). a number of papers during this booklet are in keeping with this extraordinary discovery. specifically Fokas, Olver, Rosenau build huge sessions on integrable equations utilizing bi-Hamiltonian struc tures, Fordy, Harris derive such constructions by way of contemplating the limit of isospectral flows to desk bound manifolds and Fuchssteiner discusses comparable constructions in a slightly summary setting.

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