The Symbolic Computation of Integrability Structures for Partial Differential Equations - Krasil'shchik, Joseph; Verbovetsky, Alexander; Vitolo, Raffaele; SpringerLink (Online service) (Cham : Springer International Publishing : Imprint: Springer, 2017)
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.
Keywords: Difference equations; Functional equations; Computer science-Mathematics.; Difference and Functional Equations; Math Applications in Computer Science; Symbolic and Algebraic Manipulation