Premium
Similarity reductions of a nonlinear model for vibrations of beams
Author(s) -
Bruzón M. S.,
Camacho J. C.,
Gandarias M. L.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700743
Subject(s) - similarity (geometry) , infinitesimal , symmetry (geometry) , nonlinear system , vibration , beam (structure) , mathematics , mathematical analysis , physics , computer science , artificial intelligence , geometry , quantum mechanics , optics , image (mathematics)
In this paper we find exact solutions for a beam equation. We make a full analysis of the symmetry reductions of this equation by using the classical Lie method of infinitesimals. We present some explicit solutions: compacton solutions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)