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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 e-book on Dirac constructions [I]. the current quantity incorporates a number of papers aiming at celebrating her extraordinary contributions to arithmetic. Her most crucial discoveries are linked to the algebraic constructions bobbing up within the learn of integrable equations. many of the articles contained during this quantity are within the comparable spirit. Irene, operating as a scholar of Israel Gel'fand made the elemental dis covery that integrability is heavily concerning the lifestyles of bi-Hamiltonian constructions [2], [3]. those buildings have been stumbled on independently, and al such a lot at the same time, by means of Magri [4] (see additionally [5]). numerous papers during this booklet are according to this amazing discovery. specifically Fokas, Olver, Rosenau build huge periods 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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