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.
Sub-Series
I.
II.
III.
IV.
Life and Behavioural Sciences
Mathematics, Physics and Chemistry
Computer and Systems Science
Earth and Environmental Sciences
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
–
countries of the CIS and Central and
Eastern Europe.
Advanced Study Institutes
are high-level tutorial courses offering in-depth study of latest advances
in a field.
Advanced Research Workshops
are expert meetings aimed at critical assessment of a field, and
identification of directions for future action.
As a consequence of the restructuring of the NATO Science Programme in 1999, the NATO Science
Series was re-organized to the four sub-series noted above. Please consult the following web sites for
information on previous volumes published in the Series.
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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
15
-
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-10
ISBN-13
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
All Rights Reserved
© 2006 Springer
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
a
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
e
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
ix
xiii
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97
113
123
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