1 citations · 1 across the 6 of their papers we have counts for
7 papers
Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation
Fábio Natali, Eleomar Cardoso
In this paper we establish the orbital stability of standing wave solutions associated to the one-dimensional Schrödinger-Kirchhoff equation. The presence of a mixed term gives us…
On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations
Fábio Natali, Sabrina Amaral, Eleomar Cardoso
In this paper, we determine spectral stability results of periodic waves for the critical Korteweg-de Vries and Gardner equations. For the first equation, we show that both positiv…
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…
Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization
Miguel A. Alejo, Eleomar Cardoso
We present a new variational characterization of breather solutions of any equation of the \emph{focusing} Gardner hierarchy. This hierarchy is characterized by a nonnegative index…
On the ill-posedness of the 5th-order Gardner equation
Miguel A. Alejo, Eleomar Cardoso
We present ill-posedness results for the initial value problem (IVP) of the 5th-order Gardner equation. We use new breather solutions discovered for this higher order Gardner equat…
Nonlinear stability of higher order mKdV breathers
Miguel A. Alejo, Eleomar Cardoso
We are interested in stability results for breather solutions of the 5th, 7th and 9th order mKdV equations. We show that these higher order mKdV breathers are stable in ,…
Stability properties of periodic traveling waves for the Intermediate Long Wave Equation
Jaime Angulo, Eleomar Cardoso, Fabio Natali
In this paper, we determine orbital and linear stability of periodic waves with the mean zero property related to the Intermediate Long Wave equation. Our arguments follow the rece…