307 citations · 580 across the 47 of their papers we have counts for
49 papers
Local well-posedness for the biharmonic nonlinear Schrödinger equation in low dimensions
Iryna Petrenko, Oscar Riaño, Svetlana Roudenko
In this paper we consider the 4th order (or biharmonic) nonlinear Schrödinger (NLS) equation in dimensions 1, 2, and 3, where the potential term is expressed as a power non-lineari…
Robustness of mKdV Breathers: A Numerical Perspective
Chandler Haight, Svetlana Roudenko, Diana Son +1
We systematically investigate breather solutions in the modified Korteweg-de Vries (mKdV) equation via numerical simulations. We show that the breather solutions are stable under a…
Review of well-posedness methods for the 1D nonlinear Schrödinger equation with an application to combined nonlinearities
Alex D. Rodriguez, Gia Azcoitia, Hannah Wubben +1
We consider the nonlinear Schrödinger equation in one dimension with nonlinearities of type for any power and review two different methods for obtaining solutions, n…
The nonlinear Schrödinger equation with combined nonlinearities in 1D
Oscar Riaño, Alex D Rodriguez, Svetlana Roudenko
We consider the one-dimensional nonlinear Schrödinger equation with the nonlinearity term that is expressed as a s…
Well-posedness of the focusing stochastic nonlinear Schrödinger equation: -critical and supercritical cases
Annie Millet, Svetlana Roudenko
We study the focusing -critical and supercritical stochastic nonlinear Schrödinger equation subject to additive or multiplicative noise. We investigate global or long time beh…
Nonlinear Schrödinger equation on a unit ball in one and two dimensions
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We investigate the nonlinear Schrödinger equation on a unit ball in one and two dimensions with Dirichlet boundary condition, focusing on ground states, their limiting behavior, st…