Iryna Petrenko

most citedDynamics of solutions in the 1d bi-harmonic nonlinear Schrödinger equation

3 citations · 3 across the 2 of their papers we have counts for

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math.AP2026

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…

math.AP2025★ 3 cited

Dynamics of solutions in the 1d bi-harmonic nonlinear Schrödinger equation

Christian Klein, Iryna Petrenko, Svetlana Roudenko +1

We consider the one dimensional 4th order, or bi-harmonic, nonlinear Schrödinger (NLS) equation, namely, $i u_{t} - Δ^{2} u - 2 a Δ u + ∣ u ∣^{α} u = 0, x, a \in R$ , $α > 0$ , and investigate…