文档介绍：Introduction to Soliton Theory: Applications to Mechanics
Fundamental Theories of Physics
An International Book Series on The Fundamental Theories of Physics:
Their Clarification, Development and Application
Editor:
ALWYN VAN DER MERWE, University of Denver, .
Editorial Advisory Board:
GIANCARLO GHIRARDI, University of Trieste, Italy
LAWRENCE P. HORWITZ, Tel-Aviv University, Israel
BRIAN D. JOSEPHSON, University of Cambridge, .
CLIVE KILMISTER, University of London, .
PEKKA J. LAHTI, University of Turku, Finland
ASHER PERES, Israel Institute of Technology, Israel
EDUARD PRUGOVECKI, University of Toronto, Canada
FRANCO SELLERI, Università di Bara, Italy
TONY SUDBURY, University of York, .
HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der
Wissenschaften, Germany
Volume 143
Introduction to Soliton
Theory: Applications
to Mechanics
by
Ligia Munteanu
Institute of Solid Mechanics,
Romanian Academy, Bucharest, Romania
and
Stefania Donescu
Technical University of Civil Engineering,
Department of Mathematics, Bucharest, Romania
KLUWER ACADEMIC PUBLISHERS
NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW
eBook ISBN: 1-4020-2577-7
Print ISBN: 1-4020-2576-9
©2005 Springer Science + Business Media, Inc.
Print ©2004 Kluwer Academic Publishers
Dordrecht
All rights reserved
No part of this eBook may be reproduced or transmitted in any form or by any means, electronic,
mechanical, recording, or otherwise, without written consent from the Publisher
Created in the United States of America
Visit Springer's eBookstore at: http://ebooks.
and the Springer Global Website Online at:
Contents
Preface ix
Part 1. INTRODUCTION TO SOLITON THEORY
1. MATHEMATICAL METHODS 1
Scope of the chapter 1
Scattering theory 1
Inverse scattering theory 12
method 17
Hirota method 25
Linear equivalence method (LEM) 31
Bäcklund transformation 39
Painlevé analysis 46
2. S