Similarity reductions of a nonlinear model for vibrations of beams

Jose Carlos  Camacho; Maria de los Santos  Bruzon

doi:10.3934/proc.2015.0176

Article Contents

2015, Volume 2015: 176-184. Doi: 10.3934/proc.2015.0176 open access

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Similarity reductions of a nonlinear model for vibrations of beams

Jose Carlos Camacho^1, and
Maria de los Santos Bruzon^1,

1.
Departament of Mathematics, University of Cdiz, Cadiz

Received: August 31, 2014

Revised: September 30, 2014

Published: October 2015

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Abstract

In this paper we make a full analysis of the symmetry reductions of this equation by using the classical Lie method of infinitesimals. We consider travelling wave reductions depending on the constants. We present some reductions and explicit solutions.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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