Symbolic Computation of Integrability Structures for Partial Differential Equations

Häftad, Engelska, 2018

Av Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo

1 539 kr

Beställningsvara. Skickas inom 10-15 vardagar

Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Inbunden

1 539 kr

Skickas inom 10-15 vardagar

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.

Produktinformation

Utgivningsdatum2018-12-09
Mått155 x 235 x 16 mm
Vikt429 g
FormatHäftad
SpråkEngelska
SerieTexts & Monographs in Symbolic Computation
Antal sidor263
FörlagSpringer Nature Switzerland AG
ISBN9783030100889

Tillhör följande kategorier

Joseph Krasil'shchik is a principal researcher at the Institute of Control Sciences of Russian Academy of Sciences and a full professor at the Independent University of Moscow. Alexander Verbovetsky is a lecturer at the Independent University of Moscow. Raffaele Vitolo is an associate professor in mathematical physics at the Department of Mathematics and Physics ‘E. De Giorgi’ of the Università 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.