文档介绍：W
Inna Shingareva
Carlos Lizárraga-Celaya
Solving Nonlinear Partial
Differential Equations
with Maple and Mathematica
SpringerWienNewYork
Prof. Dr. Inna Shingareva
Department of Mathematics, University of Sonora, Sonora, Mexico
******@
Dr. Carlos Lizárraga-Celaya
Department of Physics, University of Sonora, Sonora, Mexico
******@
This work is subject to copyright.
All rights are reserved, whether the whole or part of the material is concerned, specifically those
of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying
machines or similar means, and storage in data banks.
Product Liability: The publisher can give no guarantee for all the information contained in this
book. This does also refer to information about drug dosage and application thereof. In every
individual case the respective user must check its accuracy by consulting other pharmaceutical
literature. The use of registered names, trademarks, 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.
© 2011 Springer-Verlag / Wien
SpringerWienNewYork is part of
Springer Science + Business Media
Cover Design: WMX Design, 69126 Heidelberg, Germany
Typesetting: Camera ready by the authors
With 20 Figures
Printed on acid-free and chlorine-free bleached paper
SPIN: 80021221
Library of Congress Control Number: 2011929420
ISBN 978-3-7091-0516-0 e-ISBN 978-3-7091-0517-7
DOI -3-7091-0517-7
SpringerWienNewYork
Preface
The study of partial differential equations (PDEs) goes back to the 18th
century, as a result of analytical investigations of a large set of physical
models (works by Euler, Cauchy, d’Alembert, Hamilton, Jacobi, La-
grange, Laplace, Monge, and many others). Since the mid 19th century
(works by Riemann, Poincar`e, Hilbert,