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20072009
most citedSemiclassical limit of the scattering transform for the focusing Nonlinear Schr\" odinger Equation

6 citations · 9 across the 4 of their papers we have counts for

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math-ph2008

Fano-Type Resonance of Waves in Periodic Slabs

Natalia Ptitsyna, Stephen P. Shipman, Stephanos Venakides

We investigate Fano-type anomalous transmission of energy of plane waves across lossless slab scatterers with periodic structure in the presence of non-robust guided modes. Our app…

math-ph2008★ 3 cited

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

Alexander Tovbis, Stephanos Venakides

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…