Lam Xuan Chau Ngo,
"Finding rational solutions of rational systems of autonomous ODEs"
, Serie RISC Report Series, University of Linz, Austria, Nummer 10-02, JKU Linz, Altenberger Straße 69, 4040 Linz, 2-2010
Finding rational solutions of rational systems of autonomous ODEs
Sprache des Titels:
In this paper we provide an algorithm to find explicitly rational solutions of a rational system of autonomous ordinary differential equations (ODEs) from its invariant algebraic curves. The method is based on the rational parametrization of the rational invariant algebraic curves and intensively using of linear fractional transformations between two proper rational parametrizations of the same algebraic curve.