22 citations · 112 across the 18 of their papers we have counts for
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math.AP2012★ 1 cited
Smooth parametric dependence of asymptotics of the semiclassical focusing NLS
Sergey Belov, Stephanos Venakides
We consider the one dimensional focusing (cubic) Nonlinear Schrödinger equation (NLS) in the semiclassical limit with exponentially decaying complex-valued initial data, whose phas…
math-ph2012★ 9 cited
An Exactly Solvable Model for Nonlinear Resonant Scattering
Stephen P. Shipman, Stephanos Venakides
This work analyzes the effects of cubic nonlinearities on certain resonant scattering anomalies associated with the dissolution of an embedded eigenvalue of a linear scattering sys…