3 papers
math.AP2022
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…
math.AP2021
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…
math.AP2019
The Generalized Fractional Benjamin-Bona-Mahony Equation: Analytical and Numerical Results
Goksu Oruc, Handan Borluk, Gulcin M. Muslu
The generalized fractional Benjamin-Bona-Mahony (gfBBM) equation models the propagation of small amplitude long unidirectional waves in a nonlocally and nonlinearly elastic medium.…