A Solution Method for Algebraic Partial Differential Equations

par M. Georg Grasegger (RISC, Linz, Austria)

jeudi 26 juin 2014, 15:00 → 16:00 Europe/Paris

XR203 (Bâtiment XLIM)

Ten years ago Feng and Gao published an algorithm finding rational solutions of autonomous algebraic ordinary differential equations. This algorithm crucially depends on rational parametrizations of plane curves. Until now several generalizations of the algorithm have been developed. In this talk we present a general procedure for solving first-order autonomous algebraic PDEs in two independent variables. The method uses surface parametrizations and generalizes a similar procedure for first-order autonomous ODEs.