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010   $a3-319-71655-7
024 7 $a10.1007/978-3-319-71655-8
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035   $a(MiAaPQ)EBC5341319
035   $a(DE-He213)978-3-319-71655-8
035   $a(PPN)226697150
035   $a(EXLCZ)994530000000000072
100   $a20180403d2017      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Symbolic Computation of Integrability Structures for Partial Differential Equations /$fby Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (272 pages)
225 1 $aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,$x0943-853X
311   $a3-319-71654-9 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aThis is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials. The mathematical part of the book is a new approach to integrability structures that allows to treat all of them in a unified way. The software is an official package of Reduce. Reduce is free software, so everybody can download it and make experiments using the programs available at our website.
410  0$aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,$x0943-853X
606   $aDifference equations
606   $aFunctional equations
606   $aComputer science?Mathematics
606   $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031
606   $aMath Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17044
606   $aSymbolic and Algebraic Manipulation$3https://scigraph.springernature.com/ontologies/product-market-codes/I17052
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aComputer science?Mathematics.
615 14$aDifference and Functional Equations.
615 24$aMath Applications in Computer Science.
615 24$aSymbolic and Algebraic Manipulation.
676   $a515.353
700   $aKrasil'shchik$b Joseph$4aut$4http://id.loc.gov/vocabulary/relators/aut$01062597
702   $aVerbovetsky$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aVitolo$b Raffaele$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910280950603321
996   $aThe Symbolic Computation of Integrability Structures for Partial Differential Equations$92526856
997   $aUNINA