Rational Solutions of a Rational System of Autonomous ODEs : Generalization to Trivariate Case and Problems ∗

@inproceedings{Huang2010RationalSO,
  title={Rational Solutions of a Rational System of Autonomous ODEs : Generalization to Trivariate Case and Problems ∗},
  author={Yanli Huang and L. X. Ch{\^a}u Ng{\^o}},
  year={2010}
}
This paper presents a method for computing the explicitly rational solutions of a trivariate rational system of autonomous ordinary differential equations (ODEs) based on the proper parametrization of its invariant algebraic space curve. It is the generalization of the method in [11]. First, an undetermined coefficients method is given for computing the invariant algebraic space curves of the trivariate polynomial system of autonomous ODEs. Then we extend some nice properties of the proper… CONTINUE READING