%0 Journal Article
%A Grasegger, Georg
%A Sendra Pons, Juan Rafael
%A Lastra Sedano, Alberto
%A Winkler, Franz
%T On Symbolic Solutions of Algebraic Partial Differential Equations
%D 2014
%U http://hdl.handle.net/10017/20704
%X In this paper we present a general procedure for solving rst-order autonomous
algebraic partial di erential equations in two independent variables.
The method uses proper rational parametrizations of algebraic surfaces
and generalizes a similar procedure for rst-order autonomous ordinary
di erential equations. We will demonstrate in examples that, depending on
certain steps in the procedure, rational, radical or even non-algebraic solutions
can be found. Solutions computed by the procedure will depend on
two arbitrary independent constants.
%K Partial di erential equations
%K Partial differential equations
%K Algebraic surfaces
%K Rational parametrizations
%K Radical Parametrizations
%K Ciencia
%K Matemáticas
%K Science
%K Mathematics
%~ Biblioteca Universidad de Alcala