Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation

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dc.creatorTovbis, Alexander
dc.creatorVenakides, Stephanos
dc.date2008-03-13
dc.date.accessioned2026-07-07T09:26:49Z
dc.date.available2026-07-07T09:26:49Z
dc.descriptionWe 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.
dc.description11 pages, 2 figures, bibliography in a separate file
dc.identifierhttps://arxiv.org/abs/0803.2066
dc.identifierhttp://arxiv.org/abs/0803.2066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156888
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleDeterminant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation
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