112 citations · 886 across the 65 of their papers we have counts for
Showing 2014 · math.APShow all
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math.AP2014★ 6 cited
IST versus PDE, a comparative study
C. Klein, J. -C. Saut
We survey and compare, mainly in the two-dimensional case, various results obtained by IST and PDE techniques for integrable equations. We also comment on what can be predicted fro…
math.AP2014★ 112 cited
Numerical study of fractional Nonlinear Schrödinger equations
C. Klein, C. Sparber, P. Markowich
Using a Fourier spectral method, we provide a detailed numerically investigation of dispersive Schrödinger type equations involving a fractional Laplacian. By an appropriate choice…
math.AP2014★ 80 cited
A numerical approach to Blow-up issues for dispersive perturbations of Burgers' equation
C. Klein, J. -C. Saut
We provide a detailed numerical study of various issues pertaining to the dynamics of the Burgers equation perturbed by a weak dispersive term: blow-up in finite time versus global…