3 papers
math.AP2025
Cnoidal Waves for the cubic nonlinear Klein-Gordon and Schrödinger Equations
Guilherme de Loreno, Gabriel E. B. Moraes, Fábio Natali +1
In this paper, we establish orbital stability results for \textit{cnoidal} periodic waves of the cubic nonlinear Klein-Gordon and Schrödinger equations in the energy space restric…
math.AP2025
Blow-up of radially symmetric solutions for a cubic NLS type system in dimension 4
Maicon Hespanha, Ademir Pastor
This paper is concerned with a cubic nonlinear Schrödinger system modeling the interaction between an optical beam and its third harmonic in a material with Kerr-type nonlinear re…
math.AP2025
On the decay of solutions for the negative fractional KdV equation
Alysson Cunha, Oscar Riaño, Ademir Pastor
We explore the limits of fractional dispersive effects and their incidence in the propagation of polynomial weights. More precisely, we consider the fractional KdV equation when a…