Faddeev L., Moerbeke P.V., Lambert F. (eds.) Bilinear Integrable Systems (NATO ASI, Springer, 2006)(ISBN 1402035012)(O)(405s)_MCde_.pdf

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Bilinear Integrable Systems: From Classical to

Quantum, Continuous to Discrete

NATO Science Series

A Series presenting the results of scientific meetings supported under the NATO Science

Programme.

The Series is published by IOS Press, Amsterdam, and Springer (formerly Kluwer Academic

Publishers) in conjunction with the NATO Public Diplomacy Division.

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IOS Press

Springer (formerly Kluwer Academic Publishers)

IOS Press

Springer (formerly Kluwer Academic Publishers)

The NATO Science Series continues the series of books published formerly as the NATO ASI Series.

The NATO Science Programme offers support for collaboration in civil science between scientists of

countries of the Euro-Atlantic Partnership Council. The types of scientific meeting generally supported

are “Advanced Study Institutes” and “Advanced Research Workshops”, and the NATO Science Series

collects together the results of these meetings. The meetings are co-organized by scientists from

NATO countries and scientists from NATO s Partner countries

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are high-level tutorial courses offering in-depth study of latest advances

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Series II: Mathematics, Physics and Chemistry – Vol. 201

Bilinear Integrable Systems: From

Classical to Quantum, Continuous

to Discrete

edited by

Ludwig Faddeev

Russian Academy of Sciences,

St. Petersburg, Russia

Pierre Van Moerbeke

Université Catholique de Louvain,

Louvain-la-Neuve, Belgium

and

Franklin Lambert

Vrije Universiteit Brussel,

Belgium

Published in cooperation with NATO Public Diplomacy Division

Proceedings of the NATO Advanced Research Workshop on

Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete

St. Petersburg, Russia

19 September 2002

A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN-10

ISBN-13

ISBN-10

ISBN-13

1-4020-3502-0 (PB)

978-1-4020-3502-9 (PB)

1-4020-3501-2 (HB)

1-4020-3503-9 (e-book)

978-1-4020-3501-2 (HB)

978-1-4020-3503-6 (e-book)

Published by Springer,

P.O. Box 17, 3300 AA Dordrecht, The Netherlands.

www.springer.com

Printed on acid-free paper

No part of this work may be reproduced, stored in a retrieval system, or

transmitted in any form or by any means, electronic, mechanical, photocopying,

microfilming, recording or otherwise, without written permission from the

Publisher, with the exception of any material supplied specifically for the purpose

of being entered and executed on a computer system, for exclusive use by the

purchaser of the work.

Printed in the Netherlands.

TABLE OF CONTENTS

Preface

List of Participants

Aratyn, Henrik & Van de Leur, Johan:

The CKP

hierarchy and the WDVV prepotential

Arik, M.:

Quantum invariance groups of particle algebras

Athorne, Chris:

Algebraic Hirota maps

Bajnok, Z., Palla, L., & Tak´ cs, G.:

Boundary states in

SUSY sine-Gordon model

Bobenko, Alexander I.:

Geometry of discrete

integrability. The consistency approach

Doktorov, E.V. & Rothos, V.M.:

Homoclinic orbits and

dressing method

Enolskii, V. & Grava, T.:

Riemann-Hilbert problem and

algebraic curves

Gerdjikov, V.S.:

Analytic and algebraic aspects of Toda

ﬁeld theories and their real Hamiltonian forms

Grammaticos, B., Ramani, A. & Carstea, A. S.:

Bilinear

avatars of the discrete Painlev´ II equation

Haine, Luc:

Orthogonal polynomials satisfying

Q-difference

equations

Hirota, Ryogo:

Discretization of coupled soliton

equations

Horozov, E.:

An adelic

W-algebra

and rank one

bispectral operators

xiii

113

123

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