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Symmetry properties for a generalised thin film equation

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Cyprus, Nicosia, 1678, Cyprus

    Kyriakos Charalambous & Christodoulos Sophocleous

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  1. Kyriakos Charalambous
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  2. Christodoulos Sophocleous
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Correspondence to Christodoulos Sophocleous.

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Charalambous, K., Sophocleous, C. Symmetry properties for a generalised thin film equation. J Eng Math 82, 109–124 (2013). https://doi.org/10.1007/s10665-012-9577-6

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