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The symbolic computation of integrab...

Krasil'shchik, Joseph.

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The symbolic computation of integrability structures for partial differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	The symbolic computation of integrability structures for partial differential equations/ by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo.
Author:	Krasil'shchik, Joseph.
other author:	Verbovetsky, Alexander.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xv, 263 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Differential equations, Partial. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-71655-8
ISBN:	9783319716558

The symbolic computation of integrability structures for partial differential equations
Krasil'shchik, Joseph.

The symbolic computation of integrability structures for partial differential equations[electronic resource] /by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo. - Cham :Springer International Publishing :2017. - xv, 263 p. :ill., digital ;24 cm. - Texts & monographs in symbolic computation, a series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,0943-853X. - Texts & monographs in symbolic computation..

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.

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.

ISBN: 9783319716558

Standard No.: 10.1007/978-3-319-71655-8doiSubjects--Topical Terms:

518115
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.35

The symbolic computation of integrability structures for partial differential equations
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100 1 $a Krasil'shchik, Joseph. $3 728476
245 1 4 $a The symbolic computation of integrability structures for partial differential equations $h [electronic resource] / $c by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xv, 263 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts & monographs in symbolic computation, a series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, $x 0943-853X
505 0 $a 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.
520 $a 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.
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Logic, Symbolic and mathematical. $3 532051
650 0 $a Geometry, Differential. $3 523835
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Math Applications in Computer Science. $3 891004
650 2 4 $a Symbolic and Algebraic Manipulation. $3 891222
700 1 $a Verbovetsky, Alexander. $3 3275038
700 1 $a Vitolo, Raffaele. $3 3275039
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Texts & monographs in symbolic computation. $3 2156374
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-71655-8
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