Editorial Board Gerald B. Folland Robin Forman Brad G. Osgood (Chair) John Stillwell 2010 Mathematics Subject Classification. Primary 35Q53, 37K10, 14H70, 14M15, 15A75. Figure 9.1-6 on page 180 by Terry Toedtemeier, “Soliton in Shallow Wa- ter Waves, Manzanita-Neahkahnie, Oregon”, c 1978, used with permission of the photographer’s estate. For additional information and updates on this book, visit www.ams.org/bookpages/stml-54 Library of Congress Cataloging-in-Publication Data Kasman, Alex, 1967– Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs / Alex Kasman. p. cm. (Student mathematical library v. 54) Includes bibliographical references and index. ISBN 978-0-8218-5245-3 (alk. paper) 1. Korteweg-de Vries equation. 2. Geometry, Algebraic. 3. Differential equa- tions, Partial. I. Title. QA377.K367 2010 515 .353–dc22 2010024820 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904- 2294 USA. Requests can also be made by e-mail to reprint-permission@ams.org. c 2010 by the American Mathematical Society. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 15 14 13 12 11 10
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