The Symbolic Computation of Integrability Structures for Partial Differential Equations

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...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Krasil'shchik, Joseph (Συγγραφέας, 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)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Έκδοση:1st ed. 2017.
Σειρά:Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 4 |a The Symbolic Computation of Integrability Structures for Partial Differential Equations  |h [electronic resource] /  |c by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo. 
250 |a 1st ed. 2017. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XV, 263 p. 28 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,  |x 0943-853X 
505 0 |a 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. 
520 |a 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. 
650 0 |a Difference equations. 
650 0 |a Functional equations. 
650 0 |a Computer science-Mathematics. 
650 1 4 |a Difference and Functional Equations.  |0 http://scigraph.springernature.com/things/product-market-codes/M12031 
650 2 4 |a Math Applications in Computer Science.  |0 http://scigraph.springernature.com/things/product-market-codes/I17044 
650 2 4 |a Symbolic and Algebraic Manipulation.  |0 http://scigraph.springernature.com/things/product-market-codes/I17052 
700 1 |a Verbovetsky, Alexander.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Vitolo, Raffaele.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,  |x 0943-853X 
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