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λ ‐symmetries, nonlocal transformations and first integrals to a class of Painlevé–Gambier equations
Author(s) -
Yaşar Emrullah
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1584
Subject(s) - mathematics , homogeneous space , ball (mathematics) , class (philosophy) , mathematical physics , pure mathematics , mathematical analysis , geometry , artificial intelligence , computer science
In this work, we consider a class of Painlevé–Gambier equations that model the motion of chain ball drawing with constant force in the frictionless surface. λ ‐symmetries, first integrals, integrating factors, nonlocal transformations and local transformations are derived by using the some recent studies that are proposed by Muriel and Romero. Copyright © 2012 John Wiley & Sons, Ltd.