Implementation of the Painlevé test for ordinary differential systems

DOI10.1016/S0304-3975(97)00058-3zbMath0898.34005MaRDI QIDQ1389621

Christian Scheen

Publication date: 30 June 1998

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

integrabilityREDUCEPainlevé testanalytic structure

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (7)

Construction of exact partial solutions of nonintegrable systems by means of formal Laurent and Puiseux series ⋮ The Painlevé integrability of two parameterized nonlinear evolution equations using symbolic computation ⋮ Bianchi type IX asymptotical behaviours with a massive scalar field: chaos strikes back ⋮ Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple ⋮ Searching for Painlevé integrable conditions of nonlinear PDEs with constant parameters using symbolic computation ⋮ PDEPtest: a package for the Painlevé test of nonlinear partial differential equations ⋮ Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations

Uses Software

• NODES
• REDUCE
• MACSYMA
• Groebner
• ODEPAINLEVE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A perturbative Painlevé approach to nonlinear differential equations
• The Bianchi IX (mixmaster) cosmological model is not integrable
• Non-Fuchsian extension to the Painlevé test
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• Painlevé singularity analysis of the perfect fluid Bianchi type-IX relativistic cosmological model
• The last remake of the mixmaster universe model
• Painlevé singularity analysis of the Brans - Dicke Bianchi type-IX vacuum cosmological model
• Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
• Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA

This page was built for publication: Implementation of the Painlevé test for ordinary differential systems