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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…
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…
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…
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 exist…
Spectral stability of multiple periodic waves for the Schrodinger system with cubic nonlinearity
Fábio Natali, Gabriel E. Bittencourt Moraes
Results concerning the existence and spectral stability and instability of multiple periodic wave solutions for the nonlinear Schrödinger system with \textit{dnoidal} and \textit{…