Symmetries and solutions to the thin film equations |
| |
| Authors: | Changzheng Qu |
| |
| Institution: | Center for Nonlinear Studies, Northwest University, Xi'an 710069, PR China Department of Mathematics, Northwest University, Xi'an 710069, PR China |
| |
| Abstract: | We study symmetries and solutions of the generalized fourth-order nonlinear partial differential equations which arise from studies of thin liquid films. It is shown that the equations admit extended scaling and rotation symmetries and a class of generalized conditional symmetries for certain coefficient functions. Exact solutions associated to the symmetries are obtained. |
| |
| Keywords: | Rotation group Scaling group Generalized conditional symmetry Thin film equation |
| 本文献已被 ScienceDirect 等数据库收录！ |
