λ ‐symmetries, nonlocal transformations and first integrals to a class of Painlevé–Gambier equations | Zendy

Yaşar Emrullah | Zendy

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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.

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