Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637990 | Journal of Computational and Applied Mathematics | 2016 | 15 Pages |
Abstract
In this paper we present a procedure for solving first-order autonomous algebraic partial differential equations in an arbitrary number of variables. The method uses rational parametrizations of algebraic (hyper)surfaces and generalizes a similar procedure for first-order autonomous ordinary differential equations. In particular we are interested in rational solutions and present certain classes of equations having rational solutions. However, the method can also be used for finding non-rational solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Georg Grasegger, Alberto Lastra, J. Rafael Sendra, Franz Winkler,