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Record Nr. |
UNINA9910280950603321 |
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Autore |
Krasil'shchik Joseph |
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Titolo |
The Symbolic Computation of Integrability Structures for Partial Differential Equations / / by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (272 pages) |
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Collana |
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Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, , 0943-853X |
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Disciplina |
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Soggetti |
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Difference equations |
Functional equations |
Computer science—Mathematics |
Difference and Functional Equations |
Math Applications in Computer Science |
Symbolic and Algebraic Manipulation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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