On factorization and solution of multidimensional linear partial differential equations
Symbolic Computation
2007-05-23 v2 Exactly Solvable and Integrable Systems
Abstract
We 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.
Cite
@article{arxiv.cs/0609075,
title = {On factorization and solution of multidimensional linear partial differential equations},
author = {S. P. Tsarev},
journal= {arXiv preprint arXiv:cs/0609075},
year = {2007}
}
Comments
11 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