23 citations · 49 across the 16 of their papers we have counts for
17 papers
Dynamics of the Drinfeld-Sokolov-Wilson system: well-posedness and (in)stability of the traveling waves
Ognyan Christov, Sevdzhan Hakkaev, Seungly Oh +1
We analyze the Drinfeld-Sokolob-Wilson system, which features a dispersive, KdV type evolution with a dispersionless conservation law. We establish well-posedness with low regulari…
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…
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…
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 the compacton waves for the degenerate KdV and NLS models
Sevdzhan Hakkaev, Abba Ramadan, Atanas G. Stefanov
In this paper, we consider the degenerate semi-linear Schrödinger and Korteweg-deVries equations in one spatial dimension. We construct special solutions of the two models, namely…