The Symbolic Computation of Integrability Structures for Partial Differential Equations
Seiten
2018
|
1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-71654-1 (ISBN)
Springer International Publishing (Verlag)
978-3-319-71654-1 (ISBN)
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.
Raffaele Vittolo is associate professor in ‘Fisica Matematica’ at the Dipartimento di Matematica ‘E. De Giorgi’ (since 2012 Dipartimento di Matematica e Fisica ‘E. De Giorgi’) of the Universita del Salento
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.
| Erscheinungsdatum | 20.04.2018 |
|---|---|
| Reihe/Serie | Texts & Monographs in Symbolic Computation |
| Zusatzinfo | XV, 263 p. 28 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 584 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra | |
| Schlagworte | geometry of jet spaces • Hamiltonian operators • Integrable Systems • Recursion Operators • Symplectic operators |
| ISBN-10 | 3-319-71654-9 / 3319716549 |
| ISBN-13 | 978-3-319-71654-1 / 9783319716541 |
| Zustand | Neuware |
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