112 citations · 886 across the 65 of their papers we have counts for
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A Study of the Direct Spectral Transform for the Defocusing Davey-Stewartson II Equation in the Semiclassical Limit
O. Assainova, C. Klein, K. McLaughlin +1
The defocusing Davey-Stewartson II equation has been shown in numerical experiments to exhibit behavior in the semiclassical limit that qualitatively resembles that of its one-dime…
Computational approach to compact Riemann surfaces
J. Frauendiener, C. Klein
A purely numerical approach to compact Riemann surfaces starting from plane algebraic curves is presented. The critical points of the algebraic curve are computed via a two-dimensi…
On critical behaviour in generalized Kadomtsev--Petviashvili equations
Boris Dubrovin, Tamara Grava, Christian Klein
An asymptotic description of the formation of dispersive shock waves in solutions to the generalized Kadomtsev--Petviashvili (KP) equation is conjectured. The asymptotic descriptio…
Shock formation in the dispersionless Kadomtsev-Petviashvili equation
T. Grava, C. Klein, J. Eggers
The dispersionless Kadomtsev-Petviashvili (dKP) equation is one of the simplest nonlinear wave equations describing two-dimensional shocks. To solve the dKP e…
Numerical study of the long wavelength limit of the Toda lattice
C. Klein, K. Roidot
We present the first detailed numerical study of the Toda equations in dimensions in the limit of long wavelengths, both for the hyperbolic and elliptic case. We first study…
Numerical Study of the semiclassical limit of the Davey-Stewartson II equations
C. Klein, K. Roidot
We present the first detailed numerical study of the semiclassical limit of the Davey-Stewartson II equations both for the focusing and the defocusing variant. We concentrate on ra…