Group properties and invariant solutions of a sixth-order thin film equation in viscous fluid

Autor:	Huang, Ding-jiang, Yang, Qin-min, Zhou, Shuigeng
Rok vydání:	2012
Předmět:	Mathematical Physics 35L10 35A22 35A30
Druh dokumentu:	Working Paper
DOI:	10.1063/1.4773574
Popis:	Using group theoretical methods, we analyze the generalization of a one-dimensional sixth-order thin film equation which arises in considering the motion of a thin film of viscous fluid driven by an overlying elastic plate. The most general Lie group classification of point symmetries, its Lie algebra, and the equivalence group are obtained. Similar reductions are performed and invariant solutions are constructed. It is found that some similarity solutions are of great physical interest such as sink and source solutions, travelling-wave solutions, waiting-time solutions, and blow-up solutions. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1202.5138 Zobrazit plný text záznamu View this record from Arxiv