26 citations · 42 across the 29 of their papers we have counts for
5 papers · 1 filter
Periodic waves for the cubic-quintic non-linear Schrödinger equation: existence and orbital stability
Giovana Alves, Fabio Natali
In this paper, we prove existence and orbital stability results of periodic standing waves for the cubic-quintic nonlinear Schrödinger equation. We use the implicit function theore…
On the Stability of Solitary Wave Solutions for a Generalized Fractional Benjamin-Bona-Mahony Equation
Goksu Oruc, Fábio Natali, Handan Borluk +1
In this paper we establish a rigorous spectral stability analysis for solitary waves associated to a generalized fractional Benjamin-Bona-Mahony type equation. Besides the well kno…
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 restrict…
On the existence, uniqueness and stability of Periodic Waves for the fractional Benjamin-Bona-Mahony equation
Sabrina Amaral, Handan Borluk, Gulcin M. Muslu +2
The existence, uniqueness and stability of periodic traveling waves for the fractional Benjamin-Bona-Mahony equation is considered. In our approach, we give sufficient conditions t…
Stability of smooth periodic traveling waves in the Camassa-Holm equation
Anna Geyer, Renan H. Martins, Fábio Natali +1
Smooth periodic travelling waves in the Camassa--Holm (CH) equation are revisited. We show that these periodic waves can be characterized in two different ways by using two differe…