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Symmetry analysis for a thin film equation
Author(s) -
Gandarias M.L.,
Bruzón M.S.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700408
Subject(s) - homogeneous space , symmetry (geometry) , mathematical physics , work (physics) , symmetry group , lie group , thin film , physics , mathematics , pure mathematics , quantum mechanics , geometry
In this work we give a complete group classification of the thin film equation u t = –( f ( u ) xxx ) x – kg ( u ) x . By using Lie classical method the corresponding reductions are performed and some solutions are characterized. Some nonclassical symmetries for an associated potential system are derived. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)