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...
Κύριοι συγγραφείς: | , , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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Έκδοση: | 1st ed. 2017. |
Σειρά: | Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.