Math @ Duke

Publications [#320541] of Stephanos Venakides
Papers Published
 Tovbis, A; Venakides, S, Determinant form of modulation equations for the semiclassical focusing
Nonlinear Schr\" odinger equation
(2009)
(last updated on 2018/10/17)
Abstract: We derive a determinant formula for the WKB exponential of singularly
perturbed ZakharovShabat system that corresponds to the semiclassical (zero
dispersion) limit of the focusing Nonlinear Schr\" odinger equation. The
derivation is based on the RiemannHilbert 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.


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