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The Symbolic Computation of Integrability Structures for Partial Differential Equations / by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo.
- Format:
- Book
- Author/Creator:
- Krasilʹshchik, I. S. (Iosif Semenovich), author.
- Verbovetsky, Alexander, author.
- Vitolo, Raffaele, author.
- Series:
- Computer Science (Springer-11645)
- Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,. 0943-853X
- Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, 0943-853X
- Language:
- English
- Subjects (All):
- Difference equations.
- Functional equations.
- Computer science--Mathematics.
- Computer science.
- Difference and Functional Equations.
- Math Applications in Computer Science.
- Symbolic and Algebraic Manipulation.
- Local Subjects:
- Difference and Functional Equations.
- Math Applications in Computer Science.
- Symbolic and Algebraic Manipulation.
- Physical Description:
- 1 online resource (XV, 263 pages) : 28 illustrations.
- Edition:
- First edition 2017.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- Introduction
- Computational problems in the geometry of PDEs
- Old and new Reduce software for integrability of PDEs
- Internal coordinates and total derivatives
- Conservation laws and nonlocal variables
- Cosymmetries
- Symmetries
- The tangent covering
- Recursion operators for symmetries
- Variational symplectic structures
- Cotangent covering
- Variational Poisson structures
- Recursion operators for cosymmetries
- The Plebanski equation
- Discussion.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-319-71655-8
- 9783319716558
- 9783319716541
- 9783319716565
- 9783030100889
- Access Restriction:
- Restricted for use by site license.
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