3 citations · 5 across the 9 of their papers we have counts for
10 papers
Ground states to bi-harmonic nonlinear Schrödinger equations with competing dispersion
Christian Klein, Svetlana Roudenko
We study ground-state solutions of the 4th order nonlinear Schrödinger equation with mixed dispersion via the elliptic profile equation , focusing on…
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…
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 investigate…
Visualisation of counter-rotating dust disks using ray tracing methods
Eddy B. de Leon, J. Frauendiener, C. Klein
A detailed study of ray tracing in the space-time generated by a disk of counter-rotating dust is presented. The space-time is given in explicit form in terms of hyperelliptic thet…
Multi-domain spectral approach to rational-order fractional derivatives
C. Klein, N. Stoilov
We propose a method to numerically compute fractional derivatives (or the fractional Laplacian) on the whole real line via Riesz fractional integrals. The compactified real line is…
Numerical study of the Serre-Green-Naghdi equations in 2D
S. Gavrilyuk, C. Klein
A detailed numerical study of solutions to the Serre-Green-Naghdi (SGN) equations in 2D with vanishing curl of the velocity field is presented. The transverse stability of line sol…