Seminar talk, 18 October 2017

From Geometry of Differential Equations
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Speaker: Raffaele Vitolo

Title: The symbolic computation of integrability structures for PDEs

A unified mathematical approach for the computation of integrability structures for Partial Differential Equations, i.e., Hamiltonian operators, recursion operators for symmetries and cosymmetries, symplectic operators, was introduced so far by Kersten, Krasil'shchik and Verbovetsky (arXiv:math/0304245). The symbolic computation was carried out by Reduce programs that evolved into the packages CDiff and CDE. A book on this subject will be published by Springer quite soon. The talk will be a review of the book; we will both recall the theory and show computational experiments on integrability structures.