Publications [#153396] of Stephanos Venakides

Papers Submitted

1. A. Tovbis and S. Venakides, Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation., International Mathematics Research Notices IMRN (2008) [arXiv:0803.2066]
   (last updated on 2008/12/17)

   Abstract:
   We derive a determinant formula for the WKB exponential of singularly perturbed Zakharov-Shabat system that corresponds to the semiclassical (zero dispersion) limit of the focusing Nonlinear Schr\" odinger equation. The derivation is based on the Riemann-Hilbert Problem (RHP) representation of the WKB exponential. We also prove its independence of the branchpoints of the corresponding hyperelliptic surface assuming that the modulation equations are satisfied.