37 citations · 48 across the 3 of their papers we have counts for
4 papers
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 transverse stability of NLS soliton solutions in several classes of NLS type equations
Kristelle Roidot, Norbert Mauser
Dispersive PDEs are important both in applications (wave phenomena e.g. in hy- drodynamics, nonlinear optics, plasma physics, Bose-Einstein condensates,...) and a mathematically ve…
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…
Numerical study of shock formation in the dispersionless Kadomtsev-Petviashvili equation and dispersive regularizations
Christian Klein, Kristelle Roidot
The formation of singularities in solutions to the dispersionless Kadomtsev-Petviashvili (dKP) equation is studied numerically for different classes of initial data. The asymptotic…