Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1997
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
26 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 discovery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and almost 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 structures, 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 |
| Beschreibung: | 1 Online-Ressource (X, 350 p) |
| ISBN: | 9781461224341 9781461275350 |
| DOI: | 10.1007/978-1-4612-2434-1 |
Internformat
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| 245 | 1 | 0 | |a Algebraic Aspects of Integrable Systems |b In Memory of Irene Dorfman |c edited by A. S. Fokas, I. M. Gelfand |
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| 500 | |a 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 discovery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and almost 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 structures, 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 | ||
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Datensatz im Suchindex
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| author | Fokas, A. S. |
| author_facet | Fokas, A. S. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2434-1 |
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| spelling | Fokas, A. S. Verfasser aut Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman edited by A. S. Fokas, I. M. Gelfand Boston, MA Birkhäuser Boston 1997 1 Online-Ressource (X, 350 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 26 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 discovery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and almost 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 structures, 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 Mathematics Algebra Functional analysis Differential equations, partial Partial Differential Equations Functional Analysis Mathematik Integrables System (DE-588)4114032-1 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)4016928-5 Festschrift gnd-content Integrables System (DE-588)4114032-1 s 3\p DE-604 Gelfand, I. M. Sonstige oth Progress in Nonlinear Differential Equations and Their Applications 26 (DE-604)BV036582883 26 https://doi.org/10.1007/978-1-4612-2434-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fokas, A. S. Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman Progress in Nonlinear Differential Equations and Their Applications Mathematics Algebra Functional analysis Differential equations, partial Partial Differential Equations Functional Analysis Mathematik Integrables System (DE-588)4114032-1 gnd |
| subject_GND | (DE-588)4114032-1 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman |
| title_auth | Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman |
| title_exact_search | Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman |
| title_full | Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman edited by A. S. Fokas, I. M. Gelfand |
| title_fullStr | Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman edited by A. S. Fokas, I. M. Gelfand |
| title_full_unstemmed | Algebraic Aspects of Integrable Systems In Memory of Irene Dorfman edited by A. S. Fokas, I. M. Gelfand |
| title_short | Algebraic Aspects of Integrable Systems |
| title_sort | algebraic aspects of integrable systems in memory of irene dorfman |
| title_sub | In Memory of Irene Dorfman |
| topic | Mathematics Algebra Functional analysis Differential equations, partial Partial Differential Equations Functional Analysis Mathematik Integrables System (DE-588)4114032-1 gnd |
| topic_facet | Mathematics Algebra Functional analysis Differential equations, partial Partial Differential Equations Functional Analysis Mathematik Integrables System Aufsatzsammlung Festschrift |
| url | https://doi.org/10.1007/978-1-4612-2434-1 |
| volume_link | (DE-604)BV036582883 |
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