Texts & Monographs in Symbolic Computation

The Symbolic Computation of Integrability Structures for Partial Differential Equations

Authors: Krasil'shchik, Joseph, Verbovetsky, Alexander, Vitolo, Raffaele

  • Proposes a new approach and new software for computations
    Discusses example programs
    Represents the only book on integrable systems and symbolic computations of integrability operators

Buy this book

eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-71655-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for Mexico
  • ISBN 978-3-319-71654-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials. The mathematical part of the book is a new approach to integrability structures that allows to treat all of them in a unified way. The software is an official package of Reduce. Reduce is free software, so everybody can download it and make experiments using the programs available at our website.

About the authors

Joseph Krasil'shchik is a principal researcher at the Institute of Control Sciences of Russian Academy of Sciences and a full professor at the Independent University of Moscow. 

Alexander Verbovetsky is a lecturer at the Independent University of Moscow. 

Raffaele Vitolo is an associate professor in mathematical physics at the Department of Mathematics and Physics ‘E. De Giorgi’ of the Università del Salento.

Table of contents (11 chapters)

  • Computational Problems and Dedicated Software

    Krasil’shchik, Joseph (et al.)

    Pages 1-26

  • Internal Coordinates and Total Derivatives

    Krasil’shchik, Joseph (et al.)

    Pages 27-57

  • Conservation Laws and Nonlocal Variables

    Krasil’shchik, Joseph (et al.)

    Pages 59-85

  • Cosymmetries

    Krasil’shchik, Joseph (et al.)

    Pages 87-103

  • Symmetries

    Krasil’shchik, Joseph (et al.)

    Pages 105-132

Buy this book

eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-71655-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for Mexico
  • ISBN 978-3-319-71654-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Symbolic Computation of Integrability Structures for Partial Differential Equations
Authors
Series Title
Texts & Monographs in Symbolic Computation
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-71655-8
DOI
10.1007/978-3-319-71655-8
Hardcover ISBN
978-3-319-71654-1
Series ISSN
0943-853X
Edition Number
1
Number of Pages
XV, 263
Number of Illustrations and Tables
28 b/w illustrations
Topics