33 citations · 76 across the 32 of their papers we have counts for
5 papers · 2 filters
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 inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability results
Carlos M. Guzmán, Ademir Pastor
We consider the inhomogeneous biharmonic nonlinear Schrödinger equation (IBNLS) where and , . We show local and global wel…
On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces
Vanessa Barros, Lucas C. F. Ferreira, Ademir Pastor
We are concerned with the two-power nonlinear Schrödinger-type equations with non-local terms. We consider the framework of Sobolev-Lorentz spaces which contain singular functions…
On a system of Schrödinger equations with general quadratic-type nonlinearities
Norman Noguera, Ademir Pastor
In this work we study a system of Schrödinger equations involving nonlinearities with quadratic growth. We establish sharp criterion concerned with the dichotomy global existence v…
Periodic Traveling-wave solutions for regularized dispersive equations: Sufficient conditions for orbital stability with applications
Fabrício Cristófani, Fábio Natali, Ademir Pastor
In this paper, we establish a new criterion for the orbital stability of periodic waves related to a general class of regularized dispersive equations. More specifically, we presen…