Algorithms for special integrals of ordinary differential equations

DOI10.1088/0305-4470/29/5/013zbMath0916.34021OpenAlexW2047956159MaRDI QIDQ4227688

Elizabeth L. Mansfield, David Albrecht, A. E. Milne

Publication date: 12 July 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/5/013

zbMATH Keywords

ordinary differential equationsDarboux polynomialspolynomial typespecial integralseigenpolynomialsalgebraic invariant curvessecond, fourth and sixth Painlevé equations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Theoretical approximation of solutions to ordinary differential equations (34A45) General theory for ordinary differential equations (34A99) Numerical analysis in abstract spaces (65J99)

Related Items (5)

The fourth Painlevé equation and associated special polynomials ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ On the preservation of second integrals by Runge-Kutta methods ⋮ Homogeneous Darboux polynomials and generalising integrable ODE systems ⋮ On the perturbed second Painlevé equation ^*

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