Symmetry properties for a generalised thin film equation

Kyriakos Charalambous, Christodoulos Sophocleous

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)109-124
Number of pages16
JournalJournal of Engineering Mathematics
Issue number1
Publication statusPublished - Oct 2013


  • Lie symmetries
  • Non-Lie reductions
  • Potential symmetries
  • Thin film equations


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