5 citations · 5 across the 3 of their papers we have counts for
3 papers
On the stability of the dnoidal waves for the Schrödinger-KdV system
Sevdzhan Hakkaev, Atanas G. Stefanov
We study the periodic Schrödinger-Korteweg de Vries system. We describe the two-parametetric family of periodic traveling waves of dnoidal type. The main objective of the pape…
Spectral stability of periodic waves for the Zakharov system
Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov
The paper concerns with the stability of periodic travelling waves of dnoidal type of the Zakharov system. This problem was considered in Angulo-Brango, Nonlinearity'11, where it w…
Linear stability analysis for periodic traveling waves of the Boussinesq equation and the KGZ system
Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov
The question for linear stability of spatially periodic waves for the Boussinesq equation (the cases ) and the Klein-Gordon-Zakharov system is considered. For a wide class o…