33 citations · 76 across the 32 of their papers we have counts for
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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…
math.AP2016
Scattering for a 3D coupled nonlinear Schrödinger system
Luiz Gustavo Farah, Ademir Pastor
We consider the three-dimensional cubic nonlinear Schrödinger system \begin{equation*} \begin{cases} i\partial_tu+Δu+(|u|^2+β|v|^2)u=0,\\ i\partial_tv+Δv+(|v|^2+β|u|^2)v=0. \end{ca…
math.AP2016
The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in low regularity Sobolev spaces
Alysson Cunha, Ademir Pastor
In this paper we study the initial-value problem associated with the Benjamin-Ono-Zakharov-Kuznetsov equation. Such equation appears as a two-dimensional generalization of the Benj…