activity
20012023
most citedNumerical study of fractional Nonlinear Schrödinger equations

112 citations · 886 across the 65 of their papers we have counts for

collaborators

68 papers

math.AP2023

Numerical study of fractional Camassa-Holm equations

Christian Klein, Goksu Oruc

A numerical study of fractional Camassa-Holm equations is presented. Smooth solitary waves are constructed numerically. Their stability is studied as well as the long time behavior…

nlin.SI2023

Higher order degenerations of Fay's identities and applications to integrable equations

C. Klein, J. Pillet

Higher order degenerated versions of Fay's trisecant identity are presented. It is shown that these lead to solutions for Schwarzian Kadomtsev-Petviashvili equations.

gr-qc2022★ 13 cited

Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime

Christiane Klein

The study of physical effects of quatum fields in black hole spacetimes, which is related to questions such as the validity of the strong cosmic censorship conjecture, requires a H…

math.AP2022★ 7 cited

Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations

Christian Klein, Jean-Claude Saut, Nikola Stoilov

We present a detailed numerical study of the stability under periodic perturbations of line solitons of two-dimensional, generalized Zakharov-Kuznetsov equations with various power…

math.AP2022

Large behavior for the reflection coefficient for Davey-Stewartson II equations

Christian Klein, Johannes Sjöstrand, Nikola Stoilov

The study of complex geometric optics solutions to a system of d-bar equations appearing in the context of electrical impedance tomography and the scattering theory of the integrab…

math.AP2021

Numerical study of Davey-Stewartson I systems

J. Frauendiener, C. Klein, U. Muhammad +1

An efficient high precision hybrid numerical approach for integrable Davey-Stewartson (DS) I equations for trivial boundary conditions at infinity is presented for Schwartz class i…