Existence of solitons in the nonlinear beam equation

Vieri Benci; Donato Fortunato

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arXiv · 1102.5315

Existence of solitons in the nonlinear beam equation

Vieri Benci·Donato Fortunato

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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.

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Vieri Benci, Donato Fortunato. 2011-02-25. Existence of solitons in the nonlinear beam equation. https://arxiv.org/abs/1102.5315

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