2 papers
math.AP2018
On the ground states of the Ostrovskyi equation and their stabilit
Iurii Posukhovskyi, Atanas G. Stefanov
The Ostrovskyi (Ostrovskyi-Vakhnenko/short pulse) equations are ubiquitous models in mathematical physics. They describe water waves under the action of a Coriolis force as well as…
math.AP2017
On the normalized ground states for the Kawahara equation and a fourth order NLS
Iurii Posukhovskyi, Atanas Stefanov
We consider the Kawahara model and two fourth order semi-linear Schrödinger equations in any spatial dimension. We construct the corresponding normalized ground states, which we ri…