Group classification for path equation describing minimum drag work and symmetry reductions

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dc.contributor.authorPakdemirli M.
dc.contributor.authorAksoy Y.
dc.date.accessioned2024-07-22T08:20:44Z
dc.date.available2024-07-22T08:20:44Z
dc.date.issued2010
dc.description.abstractThe path equation describing the minimum drag work first proposed by Pakdemirli is reconsidered (Pakdemirli, M. The drag work minimization path for a flying object with altitude-dependent drag parameters. P roceedin gs of the I nstituti on of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science 223 (5), 1113-1116 (2009)). The Lie group theory is applied to the general equation. The group classification with respect to an altitude-dependent arbitrary function is presented. Using the symmetries, the group-invariant solutions are determined, and the reduction of order is performed by the canonical coordinates. © Shanghai University and Springer-Verlag.
dc.identifier.DOI-ID10.1007/s10483-010-1325-x
dc.identifier.issn02534827
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18290
dc.language.isoEnglish
dc.subjectAlgebra
dc.subjectMechanical engineering
dc.subjectArbitrary functions
dc.subjectCanonical coordinates
dc.subjectFlying objects
dc.subjectGeneral equations
dc.subjectGroup classification
dc.subjectInvariant solutions
dc.subjectLie group
dc.subjectLie group theory
dc.subjectMechanical engineers
dc.subjectSymmetry reduction
dc.subjectDrag reduction
dc.titleGroup classification for path equation describing minimum drag work and symmetry reductions
dc.typeArticle

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