Download PDF by A.S. Fokas,I.M. Gelfand: Algebraic Aspects of Integrable Equations Honoring the

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 encompasses a number of papers aiming at celebrating her remarkable contributions to arithmetic. Her most crucial discoveries are linked to the algebraic buildings coming up within the learn of integrable equations. lots 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 relating to the lifestyles of bi-Hamiltonian buildings [2], [3]. those constructions have been chanced on independently, and al such a lot at the same time, by way of Magri [4] (see additionally [5]). numerous papers during this booklet are in accordance with this outstanding discovery. particularly Fokas, Olver, Rosenau build huge periods on integrable equations utilizing bi-Hamiltonian struc tures, Fordy, Harris derive such constructions via contemplating the limit of isospectral flows to desk bound manifolds and Fuchssteiner discusses related 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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