21 citations · 28 across the 11 of their papers we have counts for
11 papers
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…
Lump solutions of the fractional Kadomtsev--Petviashvili equation
Handan Borluk, Gabriele Bruell, Dag Nilsson
Of concern are lump solutions for the fractional Kadomtsev--Petviashvili (fKP) equation. As in the classical Kadomtsev--Petviashvili equation, the fKP equation comes in two version…
Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrodinger equation
Gabriel E. Bittencourt Moraes, Handan Borluk, Guilherme de Loreno +2
In this paper, the existence and orbital stability of the periodic standing waves solutions for the nonlinear fractional Schrodinger (fNLS) equation with cubic nonlinearity is stud…
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation
Handan Borluk, Gabriele Bruell, Dag Nilsson
Of concern are traveling wave solutions for the fractional Kadomtsev--Petviashvili (fKP) equation. The existence of periodically modulated solitary wave solutions is proved by dime…
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…