112 citations · 886 across the 65 of their papers we have counts for
5 papers · 1 filter
Numerical study of blow-up mechanisms for Davey-Stewartson II systems
C. Klein, N. Stoilov
We present a detailed numerical study of various blow-up issues in the context of the focusing Davey-Stewartson II equation. To this end we study Gaussian initial data and perturba…
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…
On Whitham and related equations
C. Klein, F. Linares, D. Pilod +1
The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular we establish rigorous bounds bet…
Numerical study of the Kadomtsev--Petviashvili equation and dispersive shock waves
T. Grava, C. Klein, G. Pitton
A detailed numerical study of the long time behaviour of dispersive shock waves in solutions to the Kadomtsev-Petviashvili (KP) I equation is presented. It is shown that modulated…
Efficient computation of multidimensional theta functions
J. Frauendiener, C. Jaber, C. Klein
An important step in the efficient computation of multi-dimensional theta functions is the construction of appropriate symplectic transformations for a given Riemann matrix assurin…