Symmetries and Integrability of Difference Equations Lecture Notes o
This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. In
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Decio Levi Raphaël Rebelo Pavel Winternitz Editors
Symmetries and Integrability of Difference Equations Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016
CRM Series in Mathematical Physics Editorial Board: Joel S. Fieldman Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2 Canada [email protected] Duong H. Phong Department of Mathematics Columbia University New York, NY 10027–0029 USA [email protected] Yvan Saint-Aubin Département de Mathématiques et de Statistique Université de Montréal C.P. 6128, Succursale Centre-ville Montréal, Québec H3C 3J7 Canada [email protected] Luc Vinet Département de Mathématiques et de Statistique CRM, Université de Montréal C.P. 6128, Succursale Centre-ville Montréal, Québec H3C 3J7 Canada [email protected]
More information about this series at http://www.springer.com/series/3872
Decio Levi • Raphaël Rebelo Pavel Winternitz Editors
Symmetries and Integrability of Difference Equations Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016
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Editors Decio Levi Mathematics and Physics Departments, and INFN, Sezione Roma Tre Roma Tre University Roma, Italy
Raphaël Rebelo Collège Ahuntsic Montréal, Québec Canada
Pavel Winternitz Centre de Recherches Mathématiques and Département de Mathématiques et de Statistique Université de Montréal Montréal, Québec Canada
CRM Series in Mathematical Physics ISBN 978-3-319-56665-8 ISBN 978-3-319-56666-5 (eBook) DOI 10.1007/978-3-319-56666-5 Library of Congress Control Number: 2017941640 © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
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