TY - JOUR
T1 - Symmetry properties for a generalised thin film equation
AU - Charalambous, Kyriakos
AU - Sophocleous, Christodoulos
PY - 2013/10
Y1 - 2013/10
N2 - 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.
AB - 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.
KW - Lie symmetries
KW - Non-Lie reductions
KW - Potential symmetries
KW - Thin film equations
UR - http://www.scopus.com/inward/record.url?scp=84875258379&partnerID=8YFLogxK
U2 - 10.1007/s10665-012-9577-6
DO - 10.1007/s10665-012-9577-6
M3 - Article
AN - SCOPUS:84875258379
SN - 0022-0833
VL - 82
SP - 109
EP - 124
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
IS - 1
ER -