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

Irene Dorfman died in Moscow on April 6, 1994, almost immediately after seeing her appealing publication on Dirac constructions [I]. the current quantity features a choice of papers aiming at celebrating her remarkable contributions to arithmetic. Her most crucial discoveries are linked to the algebraic constructions bobbing up within the research of integrable equations. many of the articles contained during this quantity are within the similar spirit. Irene, operating as a scholar of Israel Gel'fand made the elemental dis covery that integrability is heavily relating to the life of bi-Hamiltonian constructions [2], [3]. those buildings have been came upon independently, and al such a lot concurrently, by way of Magri [4] (see additionally [5]). numerous papers during this booklet are in line with this impressive discovery. particularly Fokas, Olver, Rosenau build huge periods on integrable equations utilizing bi-Hamiltonian struc tures, Fordy, Harris derive such buildings via contemplating the restrict of isospectral flows to desk bound manifolds and Fuchssteiner discusses comparable buildings 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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