TY  - BOOK
AU  - Krasil'shchik,Joseph
AU  - Verbovetsky,Alexander
AU  - Vitolo,Raffaele
ED  - SpringerLink (Online service)
TI  - The Symbolic Computation of Integrability Structures for Partial Differential Equations
T2  - Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
SN  - 9783319716558
AV  - QA431 
U1  - 515.625 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Difference equations
KW  - Functional equations
KW  - Computer science—Mathematics
KW  - Difference and Functional Equations
KW  - Math Applications in Computer Science
KW  - Symbolic and Algebraic Manipulation
N1  - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-71655-8
ER  -