3 citations · 4 across the 4 of their papers we have counts for
4 papers
Mass-transfer instability of ground-states for Hamiltonian Schrödinger systems
Simão Correia, Filipe Oliveira, Jorge D. Silva
We study generic semilinear Schrödinger systems which may be written in Hamiltonian form. In the presence of a single gauge invariance, the components of a solution may exchange ma…
Dispersive Blow-up for Solutions of the Zakharov-Kuznetsov equation
Felipe Linares, Ademir Pastor, Jorge Drumond Silva
The main purpose here is the study of dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. Dispersive blow-up refers to point singularities due to the focusing of s…
On the Cauchy problem for a Boussinesq type system
Felipe Linares, Mahendra Panthee, Jorge Drumond Silva
We consider the initial value problem (IVP) associated to a Boussinesq type system. After rewriting the system in an equivalent form of coupled KdV-type equations, we prove that th…
On The Cauchy Problem for the elliptic Zakharov-Schulman system in dimensions 2 and 3
Filipe Oliveira, Mahendra Panthee, Jorge Drumond Silva
We prove that the Cauchy problem associated to the Zakharov-Schulman system , is locally well-posed for given initial data in Sobolev spaces $H^s(R^…