33 citations · 52 across the 16 of their papers we have counts for
17 papers
Asymptotic attraction with algebraic rates toward fronts of dispersive-diffusive Burgers equations
Milena Stanislavova, Atanas G. Stefanov
Burgers equation is a classic model, which arises in numerous applications. At its very core it is a simple conservation law, which serves as a toy model for various dynamics pheno…
Existence and stability for the travelling waves of the Benjamin equation
Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov
In the seminal work of Benjamin,\cite{Ben} in the late 70's, he has derived the ubiquitous Benjamin model, which is a reduced model in the theory of water waves. Notably, it contai…
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…
On the stability of the periodic waves for the Benney system
Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov
We analyze the Benney model for interaction of short and long waves in resonant water wave interactions. Our particular interest is in the periodic traveling waves, which we constr…
On the stability of periodic waves for the cubic derivative NLS and the quintic NLS
Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov
We study the periodic cubic derivative non-linear Schrödinger equation (dNLS) and the (focussing) quintic non-linear Schrödinger equation (NLS). These are both critical dispe…
On the Barashenkov-Bogdan-Zhanlav solitons and their stability
Wen Feng, Milena Stanislavova, Atanas G. Stefanov
The Barashenkov-Bogdan-Zhanlav solitons for the forced NLS/Lugiato-Lefever model on the line are considered. While the instability of was established in the original…