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The Symbolic Computation of Integrability Structures for Partial Differential Equations /

Bibliographic Details
Main Authors: Krasil'shchik, Joseph. (Author), Verbovetsky, Alexander. (Author), Vitolo, Raffaele. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
Subjects:
Table of Contents:
  • 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.