26 citations · 42 across the 29 of their papers we have counts for
34 papers
Existence and spectral stability of small-amplitude periodic waves for the 2D nonlinear focusing Schrodinger equation
Fabio Natali
The purpose of this paper is to establish the existence and spectral stability, with respect to perturbations of the same period, of double-periodic standing waves for the nonlinea…
Periodic Waves for the Regularized Camassa-Holm Equation: Existence and Spectral Stability
Fabio Natali
In this paper, we investigate the existence and spectral stability of periodic traveling wave solutions for the regularized Camassa-Holm equation. To establish the existence of per…
On the orbital stability of solitary waves for the fourth order nonlinear Schrödinger equation
Handan Borluk, Gulcin M. Muslu, Fábio Natali
In this paper, we present new results regarding the orbital stability of solitary standing waves for the general fourth-order Schrödinger equation with mixed dispersion. The existe…
Stability of Periodic Waves for the Defocusing Fractional Cubic Nonlinear Schrödinger Equation
Handan Borluk, Gulcin M. Muslu, Fábio Natali
In this paper, we determine the spectral instability of periodic odd waves for the defocusing fractional cubic nonlinear Schrödinger equation. Our approach is based on periodic per…
Transverse instability of periodic standing waves for the generalized nonlinear Schrodinger equation
Fabio Natali, Gabriel E. Bittencourt Moraes
In this paper, we determine the transverse instability of periodic standing wave solutions for the generalized Schrödinger equation with fractional power nonlinearity. The existenc…
Spectral Stability of Periodic Traveling Wave Solutions for a Double Dispersion Equation
Fábio Natali, Thiago P. de Andrade
In this paper, we investigate the spectral stability of periodic traveling waves for a cubic-quintic and double dispersion equation. Using the quadrature method we find explict per…