文献类型：期刊文献

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

作者：Huang, Ding-jiang[1,2,3];Yang, Qin-min[1];Zhou, Shuigeng[2,3]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China;[3]Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China

年份：2013

卷号：54

期号：1

外文期刊名：JOURNAL OF MATHEMATICAL PHYSICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000314726700039)】；

基金：This work was partially supported by the National Key Basic Research Project of China (Grant No. 2010CB126600), the National Natural Science Foundation of China (Grant No. 60873070), Shanghai Leading Academic Discipline Project No. B114, the Postdoctoral Science Foundation of China (Grant Nos. 20090450067 and 201104247), Shanghai Postdoctoral Science Foundation (Grant No. 09R21410600) and the Fundamental Research Funds for the Central Universities (Grant No. WM0911004).

语种：英文

摘要：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. Similarity reduction 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. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4773574]