130 citations · 550 across the 53 of their papers we have counts for
58 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…
On the stability of solitary waves in the NLS system of the third-harmonic generation
Abba Ramadan, Atanas G. Stefanov
We consider the NLS system of the third-harmonic generation, which was introduced by Sammut. Our interest is in solitary wave solutions and their stability properties. The recent w…
A maximisation technique for solitary waves: the case of the nonlocally dispersive Whitham equation
Mathias Nikolai Arnesen, Mats Ehrnstrom, Atanas G. Stefanov
Recently, two different proofs for large and intermediate-size solitary waves of the nonlocally dispersive Whitham equation have been presented, using either global bifurcation the…
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 solitary waves for anisotropic nonlinear Schrödinger models on the plane
Tianxiang Gou, Hichem Hajaiej, Atanas G. Stefanov
The focussing anisotropic nonlinear Schrödinger equation \begin{align*} \mathrm{i} u_t-\partial_{xx} u + (-\partial_{yy})^s u=|u|^{p-2}u \quad \mbox{in}\ \mathbb{R} \times \mathbb{…
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…