Publications [#139802] of Stephanos Venakides

Papers Published

1. A. Tovbis, S. Venakides, X. Zhou, Semiclassical Focusing Nonlinear Schrödinger Equation I: Inverse scattering map and its evolution for radiative initial data, International Mathematics Research Notices, vol. 2007 no. Article ID rnm094, 54 pages. doi:10. (2007)
   (last updated on 2007/12/17)

   Abstract:
   We consider the semiclassical limit for the focusing nonlinear (cubic) Schr ¨ odinger Equation (NLS) in the pure radiational case. We present a method of reconstructing the leading order terms of the solitonless initial data and of its evolution for a wide class of the corresponding reflection coefficients.