26 citations · 42 across the 29 of their papers we have counts for
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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…
Transversal spectral instability of periodic traveling waves for the generalized Zakharov-Kuznetsov equation
Fabio Natali
In this paper, we determine the transversal instability of periodic traveling wave solutions of the generalized Zakharov-Kuznetsov equation in two space dimensions. Using an adapta…