Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications, Band 26) - Hardcover

Hardcover

ISBN 10: 0817638350 ISBN 13: 9780817638351

Verlag: Birkhäuser, 1996

Inhaltsangabe

Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures [I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis covery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and al most simultaneously, by Magri [4] (see also [5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 1996
• Sprache: Englisch
• ISBN 10: 0817638350
• ISBN 13: 9780817638351
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 360
• Herausgeber: Fokas A.S., Gelfand I.M.
• Kontakt zum Hersteller: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Deutschland