Existence of solitons in the nonlinear beam equation
Analysis of PDEs
2011-02-28 v1
Abstract
This paper concerns with the existence of solitons, namely stable solitary waves in the nonlinear beam equation (NBE) with a suitable nonlinearity. An equation of this type has been introduced by P.J. McKenna and W. Walter as a model of a suspension bridge. We prove both the existence of solitary waves for a large class of nonlinearities and their stability. As far as we know this is the first result about stability of solitary waves in NBE.
Keywords
Cite
@article{arxiv.1102.5315,
title = {Existence of solitons in the nonlinear beam equation},
author = {Vieri Benci and Donato Fortunato},
journal= {arXiv preprint arXiv:1102.5315},
year = {2011}
}
Comments
19 pages