On factorization and solution of multidimensional linear partial differential equations

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dc.creatorTsarev, S. P.
dc.date2006-09-13
dc.date2006-12-27
dc.date.accessioned2026-07-07T07:37:12Z
dc.date.available2026-07-07T07:37:12Z
dc.descriptionWe describe a method of obtaining closed-form complete solutions of certain second-order linear partial differential equations with more than two independent variables. This method generalizes the classical method of Laplace transformations of second-order hyperbolic equations in the plane and is based on an idea given by Ulisse Dini in 1902.
dc.description11 pages, Plain LaTeX; Submitted to Proceedings of Waterloo Workshop on Computer Algebra devoted to the 60th birthday Of S.A.Abramov. The second version includes grant acknowledgements and minor changes in a couple of places
dc.identifierhttps://arxiv.org/abs/cs/0609075
dc.identifierhttp://arxiv.org/abs/cs/0609075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120692
dc.subjectSymbolic Computation
dc.subjectExactly Solvable and Integrable Systems
dc.subjectF.2.2
dc.titleOn factorization and solution of multidimensional linear partial differential equations
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