29 citations · 104 across the 13 of their papers we have counts for
14 papers
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…
Controllability for Schrödinger type system with mixed dispersion on compact star graphs
Roberto de A. Capistrano-Filho, Márcio Cavalcante, Fernando Gallego
In this work we are concerned with solutions to the linear Schrödinger type system with mixed dispersion, the so-called biharmonic Schrödinger equation. Precisely, we are able to p…
The nonlinear Quadratic Interactions of the Schrödinger type on the half-line
Isnaldo Isaac Barbosa, Márcio Cavalcante
In this work we study the initial boundary value problem associated with the coupled Schrödinger equations {with quadratic nonlinearities, that appears in nonlinear optics}, on the…
Linear instability of stationary solutions for the Korteweg-de Vries equation on a star graph
Jaime Angulo Pava, Márcio Cavalcante
The aim of this work is to establish a linear instability criterium of stationary solutions for the Korteweg-de Vries model on a star graph with a structure represented by a finite…
The cubic nonlinear fractional Schrödinger equation on the half-line
Márcio Cavalcante, Gerardo Huaroto
We study the cubic nonlinear fractional Schrödinger equation with Lévy indices posed on the half-line. More precisely, we define the notion of a solution for thi…
Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation
Roberto de A. Capistrano Filho, Márcio Cavalcante, Fernando A. Gallego
In a recent article \textit{"Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane", to appear on Pacific Journal of Mathematics [15]}, the authors g…