Group Analysis and Heir-Equations for Thin Liquid Films
- 10.1142/S1402925109000078How to use a DOI?
- Group analysis; nonclassical symmetries
Lie group analysis is applied to a mathematical model for thin liquid films, namely a nonlinear fourth order partial differential equation in two independent variables. A three-dimensional Lie symmetry algebra is found and reductions to fourth order ordinary differential equations are obtained by using its one-dimensional subalgebras. Two of these ordinary differential equations are studied by the reduction method and by the Jacobi last multiplier method, and found to be linearizable. Furthermore, the G-equation and η-equation, namely two of the heir-equations obtained by iterating the nonclassical symmetries method, are constructed and reductions to different ordinary differential equations are acquired by using two-dimensional and three-dimensional subalgebras, respectively.
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
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Cite this article
TY - JOUR AU - S. Martini AU - N. Ciccoli AU - M. C. Nucci PY - 2021 DA - 2021/01/07 TI - Group Analysis and Heir-Equations for Thin Liquid Films JO - Journal of Nonlinear Mathematical Physics SP - 77 EP - 92 VL - 16 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000078 DO - 10.1142/S1402925109000078 ID - Martini2021 ER -