We present a detailed numerical study of solutions to the Zakharov–Kuznetsov equation in three spatial dimensions. The is three-dimensional generalization Korteweg–de Vries equation, though, not completely integrable. This L2-subcritical, and thus, exist globally, for example, H1 energy space. first stability solitons with various perturbations sizes symmetry, show asymptotic formation radiatio...

We consider a model that describes electromigration in nanoconductors known as surface (SEM) equation. Our purpose here is to establish local well-posedness for the associated initial value problem Sobolev spaces from two different points of view. In first one, we study pure Cauchy and $H^s(\mathbb{R}^2)$, $s>1/2$. second on background Korteweg-de Vries solitary traveling wave less regular spac...

Roald Zinnurovich Sagdeev (on his 90th birthday), Aganbegyan A.G., Vainshtein A.I., Dudnikova G.I., Zakharov V.E., Zelenyi L.M., Kuznetsov E.A., Litvak Nigmatulin R.I., Ryutov D.D., Skrinskii A.N., Sunyaev R.A., Fedoruk M.P.