3 papers
math.AP2020
Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive Equations
Fabrício Cristófani, Ademir Pastor
We prove the orbital stability of periodic traveling-wave solutions for systems of dispersive equations with coupled nonlinear terms. Our method is basically developed under two as…
math.AP2019
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…
math.AP2014
Orbital Stability of Periodic Waves for the Log-KdV Equation
Fábio Natali, Ademir Pastor, Fabrício Cristófani
In this paper we establish the orbital stability of periodic waves related to the logarithmic Korteweg-de Vries equation. Our motivation is inspired in the recent work \cite{carles…