2 papers
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.AP2020
On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations
Fábio Natali, Sabrina Amaral, Eleomar Cardoso
In this paper, we determine spectral stability results of periodic waves for the critical Korteweg-de Vries and Gardner equations. For the first equation, we show that both positiv…