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The symbolic computation of integrability structures for partial differential equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The symbolic computation of integrability structures for partial differential equations/ by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo.
作者:	Krasil'shchik, Joseph.
其他作者:	Verbovetsky, Alexander.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xv, 263 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Differential equations, Partial. -
電子資源:	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:

527784
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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