Finding rational solutions of rational systems of autonomous ODEs
نویسنده
چکیده
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.
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تاریخ انتشار 2010