112 citations · 886 across the 65 of their papers we have counts for
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Numerical Study of Blowup in the Davey-Stewartson System
C. Klein, B. Muite, K. Roidot
Nonlinear dispersive partial differential equations such as the nonlinear Schrödinger equations can have solutions that blow-up. We numerically study the long time behavior and pot…
Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: A numerical study
C. Klein, C. Sparber
We numerically investigate transverse stability and instability of so-called cnoidal waves, i.e., periodic traveling wave solutions of the Korteweg-de Vries equation, under the tim…
Efficient computation of the branching structure of an algebraic curve
J. Frauendiener, C. Klein, V. Shramchenko
An efficient algorithm for computing the branching structure of a compact Riemann surface defined via an algebraic curve is presented. Generators of the fundamental group of the ba…
On the numerical evaluation of algebro-geometric solutions to integrable equations
C. Kalla, C. Klein
Physically meaningful periodic solutions to certain integrable partial differential equations are given in terms of multi-dimensional theta functions associated to real Riemann sur…