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.-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.

S. MARTINI, CICCOLI, N., NUCCI, M.C. (2009). Group analysis and heir-equations of a mathematical model for thin liquid films. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 16(1), 77-92 [10.1142/S1402925109000078].

Group analysis and heir-equations of a mathematical model for thin liquid films

NUCCI, Maria Clara
2009

Abstract

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.-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
S. MARTINI, CICCOLI, N., NUCCI, M.C. (2009). Group analysis and heir-equations of a mathematical model for thin liquid films. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 16(1), 77-92 [10.1142/S1402925109000078].
S. MARTINI; CICCOLI, Nicola; NUCCI, Maria Clara
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/916354
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