26 citations · 42 across the 29 of their papers we have counts for
6 papers · 2 filters
A comment about the paper On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation
Fábio Natali, Renan H. Martins
We discuss the recent paper by A. Darós and L.K. Arruda (On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation, J. Diff. Equat., 266 (2019),…
Orbital Stability of Periodic Standing Waves for the Logarithmic Klein-Gordon Equation
Fábio Natali, Eleomar Cardoso
The main goal of this paper is to present orbital stability results of periodic standing waves for the one-dimensional logarithmic Klein-Gordon equation. To do so, we first use com…
New variational characterization of periodic waves in the fractional Korteweg-de Vries equation
Fabio Natali, Uyen Le, Dmitry E. Pelinovsky
Periodic waves in the fractional Korteweg-de Vries equation have been previously characterized as constrained minimizers of energy subject to fixed momentum and mass. Here we chara…
On the Stability of Periodic Traveling Waves for the Modified Kawahara Equation
Gisele Detomazi Almeida, Fabrício Cristófani, Fábio Natali
In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation. Our method is based on the Fourier expan…
Instability of -stable peakons in the Camassa-Holm equation
Fabio Natali, Dmitry E. Pelinovsky
It is well-known that peakons in the Camassa-Holm equation are -orbitally stable thanks to the presence of conserved quantities and properties of peakons as constrained energy…
Periodic Traveling-wave solutions for regularized dispersive equations: Sufficient conditions for orbital stability with applications
Fabrício Cristófani, Fábio Natali, Ademir Pastor
In this paper, we establish a new criterion for the orbital stability of periodic waves related to a general class of regularized dispersive equations. More specifically, we presen…