The Symbolic Computation of Integrability Structures for Partial Differential Equations
Published on 12. April 2018
Book
Hardback
XV, 263 pages
978-3-319-71654-1 (ISBN)
Description
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.
More details
Series
Edition
2017 ed.
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
28 s/w Abbildungen
XV, 263 p. 28 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 21 mm
Weight
588 gr
ISBN-13
978-3-319-71654-1 (9783319716541)
DOI
10.1007/978-3-319-71655-8
Schweitzer Classification
Other editions
Additional editions
Joseph Krasil'shchik | Alexander Verbovetsky | Raffaele Vitolo
The Symbolic Computation of Integrability Structures for Partial Differential Equations
Book
12/2018
Springer
€117.69
Shipment within 7-9 days
Joseph Krasil'shchik | Alexander Verbovetsky | Raffaele Vitolo
The Symbolic Computation of Integrability Structures for Partial Differential Equations
E-Book
04/2018
1st Edition
Springer
€106.99
Available for download
Persons
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.
Content
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.