Weak perturbative Painlevé analysis and descending series solutions

DOI10.1016/0375-9601(96)00584-1zbMath0972.34502OpenAlexW1990826246MaRDI QIDQ1967987

Andrew Pickering

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00584-1

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (2)

A note on the Painlevé analysis of a \((2+1)\)-dimensional Camassa-Holm equation ⋮ Painlevé Tests, Singularity Structure and Integrability

Cites Work

• A perturbative Painlevé approach to nonlinear differential equations
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• The Painleve test, hidden symmetries and the equation y"+yy'+Ky³=0
• Necessary condition for the existence of algebraic first integrals
• Necessary condition for the existence of algebraic first integrals

This page was built for publication: Weak perturbative Painlevé analysis and descending series solutions