Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation
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, Journal Article
Tovbis, A; Venakides, S
2009
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.
Duke Scholars
Publication Date
2009
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Tovbis, A., & Venakides, S. (2009). Determinant form of modulation equations for the semiclassical focusing
Nonlinear Schr\" odinger equation.
Tovbis, A., and S. Venakides. “Determinant form of modulation equations for the semiclassical focusing
Nonlinear Schr\" odinger equation,” 2009.
Tovbis A, Venakides S. Determinant form of modulation equations for the semiclassical focusing
Nonlinear Schr\" odinger equation. 2009;
Tovbis, A., and S. Venakides. Determinant form of modulation equations for the semiclassical focusing
Nonlinear Schr\" odinger equation. 2009.
Tovbis A, Venakides S. Determinant form of modulation equations for the semiclassical focusing
Nonlinear Schr\" odinger equation. 2009;
Publication Date
2009