45 citations · 146 across the 13 of their papers we have counts for
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math.AP2011★ 1 cited
On ringing effects near jump discontinuities for periodic solutions to dispersive partial differential equations
Kenneth D. T. -R. McLaughlin, Nigel J. E. Pitt
We consider weak solutions to dispersive partial differential equations with periodic boundary conditions and initial data with jump discontinuities. These are already known to be…
math.AP2011★ 8 cited
The semiclassical limit of focusing NLS for a family of non-analytic initial data
Robert Jenkins, Kenneth D. T. -R. McLaughlin
The small dispersion limit of the focusing nonlinear Schroödinger equation (NLS) exhibits a rich structure of sharply separated regions exhibiting disparate rapid oscillations at m…