4 papers · 2 filters
Dispersive blow-up for a coupled Schrödinger-fifth order KdV system
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we establish a dispersive blow-up result for the initial value problem (IVP) for the coupled Schrödinger-fifth order Korteweg-de Vries system \begin{align*} \left. \be…
Dispersive blow-up for the fifth order Korteweg-de Vries equation on the line
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we establish a dispersive blow-up result for the initial value problem (IVP) for the fifth order Korteweg-de Vries equation \begin{align*} \left. \begin{array}{rlr} u_…
Local well-posedness and regularity properties for an initial-boundary value problem associated to the fifth order Korteweg-de Vries equation
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we prove that the initial-boundary value problem (IBVP) for the fifth order Korteweg-de Vries equation \begin{align*} \left. \begin{array}{rlr} u_t+\partial_x^5 u+u\pa…
On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation
Eddye Alejandro Bustamante, Jose Manuel Jiménez, Alexander Muñoz
This work is devoted to study the relation between regularity and decay for solutions of the two-dimensional modified Zakharov-Kuznetsov equation in the weighted Sobolev spaces $Z_…