Symmetry properties for a generalised thin film equation

被引：4

作者：

Charalambous, Kyriakos ^{[1
]}

Sophocleous, Christodoulos ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2013年 / 82卷 / 01期

关键词：

Lie symmetries; Non-Lie reductions; Potential symmetries; Thin film equations; NONLINEAR DIFFUSION; NONCLASSICAL SYMMETRIES; CONSERVATION-LAWS; TRANSFORMATIONS; REDUCTION; EVOLUTION; MODEL; HEAT;

D O I：

10.1007/s10665-012-9577-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：109 / 124

页数：16

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