307 citations · 580 across the 47 of their papers we have counts for
10 papers · 1 filter
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation
C. Klein, S. Roudenko, N. Stoilov
We present a detailed numerical study of solutions to the Zakharov-Kuznetsov equation in three spatial dimensions. The equation is a three-dimensional generalization of the Kortewe…
Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study
Svetlana Roudenko, Zhongming Wang, Kai Yang
We consider the generalized Benjamin-Ono (gBO) equation on the real line, , and perform nu…
Well-posedness in weighted spaces for the generalized Hartree equation with
Anudeep K. Arora, Oscar Riaño, Svetlana Roudenko
We investigate the well-posedness in the generalized Hartree equation , , , for low powers of nonlinea…
Threshold solutions for the nonlinear Schrödinger equation
Luccas Campos, Luiz Gustavo Farah, Svetlana Roudenko
We study the focusing NLS equation in in the mass-supercritical and energy-subcritical (or intercritical) regime, with data at the mass-energy threshold $ \mat…
Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle
Thomas Duyckaerts, Oussama Landoulsi, Svetlana Roudenko
We study the dynamics of the focusing cubic nonlinear Schrödinger equation in the exterior of a strictly convex obstacle at the mass-energy threshold, namely, when $ E_Ω[u_0]…
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise
Annie Millet, Alex D Rodriguez, Svetlana Roudenko +1
We study the focusing stochastic nonlinear Schrödinger equation in one spatial dimension with multiplicative noise, driven by a Wiener process white in time and colored in space, i…