%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