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math.AP2021
Periodic waves for the cubic-quintic non-linear Schrödinger equation: existence and orbital stability
Giovana Alves, Fabio Natali
In this paper, we prove existence and orbital stability results of periodic standing waves for the cubic-quintic nonlinear Schrödinger equation. We use the implicit function theore…
math.AP2016
Sufficient Conditions for Orbital Stability of Periodic Traveling Waves
Giovana Alves, Fábio Natali, Ademir Pastor
The present paper deals with sufficient conditions for orbital stability of periodic waves of a general class of evolution equations supporting nonlinear dispersive waves. Our meth…