7 citations · 14 across the 13 of their papers we have counts for
15 papers · 1 filter
On the nonexistence of NLS breathers
Miguel Á. Alejo, Adán J. Corcho
In this work, a rigorous proof of the nonexistence of breather solutions for NLS equations is presented. By using suitable virial functionals, we are able to characterize the nonex…
solutions for cubic NLS equation with fractional elliptic/hyperbolic operators on and
A. J. Corcho, L. P. Mallqui
In this work we consider the Cauchy problem for the cubic Schrödinger equation posed on cylinder with fractional derivatives …
Stability of mKdV breathers on the half-line
Miguel A. Alejo, Márcio Cavalcante, Adán J. Corcho
In this paper we study the stability problem for mKdV breathers on the left half-line. We are able to show that leftwards moving breathers, initially located far away from the orig…
Uniform Adiabatic Limit of Benney type Systems
Adán J. Corcho, Juan C. Cordero
In this paper we show that solutions of the cubic nonlinear Schrödinger equation are asymptotic limit of solutions to the Benney system. Due to the special characteristic of the on…
Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation
Miguel A. Alejo, Adán J. Corcho
In this work, a rigorous proof of the orbital stability of the black soliton solution of the quintic Gross-Pitaevskii equation in one spatial dimension is obtained. We first build…
Well-posedness and long time behavior for the Schrödinger-Korteweg-de Vries interactions on the half-Line
Márcio Cavalcante, Adán Corcho
The initial-boundary value problem for the Schrödinger-Korteweg-de Vries system is considered on the left and right half-line for a wide class of initial-boundary data, including t…