The Symbolic Computation of Integrability Structures for Partial Differential Equations

• Main Authors: Krasil'shchik, Joseph (Author, http://id.loc.gov/vocabulary/relators/aut), Verbovetsky, Alexander (http://id.loc.gov/vocabulary/relators/aut), Vitolo, Raffaele (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 1st ed. 2017.
• Series: Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
• Subjects: Difference equations.; Functional equations.; Computer science-Mathematics.; Difference and Functional Equations.; Math Applications in Computer Science.; Symbolic and Algebraic Manipulation.
• Physical Description: XV, 263 p. 28 illus. online resource.
• ISBN: 9783319716558
• ISSN: 0943-853X
• DOI: 10.1007/978-3-319-71655-8

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.