35 citations · 68 across the 11 of their papers we have counts for
14 papers
Existence of torsional solitons in a beam model of suspension bridge
Vieri Benci, Donato Fortunato, Filippo Gazzola
This paper studies the existence of solitons, namely stable solitary waves, in a suspension bridge. The bridge is modeled as a degenerate plate, that is, a central beam with cross…
Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations
Vieri Benci, Donato Fortunato
This paper concerns with the existence of solitons, namely stable solitary waves, for the Benjamin-Ono and the fractional KdV equations.
Hylomorphic solitons for the generalized KdV equation
Vieri Benci, Donato Fortunato
In this paper we prove the existence of hylomorphic solitons in the generalized KdV equation. A soliton is called hylomorphic if it is a solitary wave whose stability is due to a p…
Solitons in Schrödinger-Maxwell equations
Vieri Benci, Donato Fortunato
In this paper we study the Nonlinear Schrödinger-Maxwell equations (NSM). We are interested to analyse the existence of solitons, namely of finite energy solutions which exhibit st…
Hylomorphic solitons and charged Q-balls: existence and stability
Vieri Benci, Donato Fortunato
In this paper we give an abstract definition of solitary wave and soliton and we develop an abstract existence theory. This theory provides a powerful tool to study the existence o…
A minimization method and applications to the study of solitons
Vieri Benci, Donato Fortunato
Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet and which preserves this localization in time. A soliton is a solitary…