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The Reduction of Chazy Classes and Other Third-Order Differential Equations Related to Boundary Layer Flow Models |
| K. Fakhar1,2, A. H. Kara3* |
1Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, Science and Technology, 81310 UTM Skudai, Johor, Malaysia
2Ibnu Sina Institute for Fundamental Sciences, Faculty of Science, Universiti Teknologi Malaysia, Science and Technology, 81310 UTM Skudai, Johor, Malaysia
3School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg Wits 2050, South Africa |
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| Cite this article: |
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K. Fakhar, A. H. Kara 2012 Chin. Phys. Lett. 29 060202 |
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Abstract We study the symmetries, conservation laws and reduction of third-order equations that evolve from a prior reduction of models that arise in fluid phenomena. These could be the ordinary differential equations (ODEs) that are reductions of partial differential equations (PDEs) or, alternatively, PDEs related to given ODEs. In this class, the analysis includes the well-known Blasius, Chazy, and other associated third-order ODEs.
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02.30.Hq
05.45.-a
04.20.Cv
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Received: 06 March 2012
Published: 31 May 2012
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| PACS: |
02.30.Hq
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(Ordinary differential equations)
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05.45.-a
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(Nonlinear dynamics and chaos)
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04.20.Cv
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(Fundamental problems and general formalism)
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