3 citations · 3 across the 5 of their papers we have counts for
5 papers
The 3D critical Zakharov--Kuznetsov equation: blow-up and soliton dynamics
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We study the full three-dimensional dynamics of the -critical Zakharov-Kuznetsov equation with the fractional nonlinearity , equivalently for real-valued…
Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
Théo Gaudry, Christian Klein, Jean-Claude Saut +1
In this work we consider the well posed version of the Kaup-Broer-Kuperschmidt system in two dimensions. We numerically construct soliton type solutions and show that they are unst…
Multi-domain spectral approach for Zakharov-Kuznetsov equations in 3D with cylindrical symmetry
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We present a novel numerical framework for studying nonlinear dispersive equations in higher-dimensional settings, specifically designed for solutions featuring traveling waves alo…
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, , , and invest…
Nonlinear Schrödinger equation on a unit ball in one and two dimensions
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We consider the nonlinear Schrödinger equation on a unit ball in one and two dimensions with Dirichlet boundary conditions, which have stabilizing effect on solutions behavior. In…