Lie point symmetries, partial Noether operators and first integrals of the Painlevé-Gambier equations

DOI10.1016/j.na.2011.05.099zbMath1230.34037OpenAlexW1991256136MaRDI QIDQ644174

F. M. Mahomed, Andrew Gratien Johnpillai, Chaudry Masood Khalique

Publication date: 3 November 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.099

zbMATH Keywords

first integralsJacobi equationpartial Lagrangianpartial Noether operatorsLie linearizationPainlevé-Gambier equations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Explicit solutions, first integrals of ordinary differential equations (34A05)

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Cites Work

• On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé-Gambier type
• Symmetry group classification of ordinary differential equations: Survey of some results
• Partial Noether operators and first integrals via partial Lagrangians