Symmetry properties for a generalised thin film equation
Date
2013Source
Journal of Engineering MathematicsVolume
82Issue
1Pages
109-124Google Scholar check
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Symmetry properties are presented for a fourth-order parabolic equation written in conservation form. It was introduced in the literature as a generalisation of the fourth-order thin film equation. We derive equivalence transformations, Lie symmetries, potential symmetries, non-classical symmetries and potential non-classical symmetries. A chain of such equations is introduced. We conclude by presenting similar results for the third-order equation of this chain. © 2012 Springer Science+Business Media B.V.
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