Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrodinger Equation

DOI10.1093/imrn/rnr092zbMath1239.35151arXiv0903.2648OpenAlexW2963692195MaRDI QIDQ2889565

Alexander Tovbis, Stephanos Venakides

Publication date: 8 June 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.2648

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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The Wentzel-Kramers-Brillouin approximation of semiclassical eigenvalues of the Zakharov–Shabat problem ⋮ On the spectrum of the periodic focusing Zakharov-Shabat operator ⋮ A Boundary Value Problem for Conjugate Conductivity Equations ⋮ Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions ⋮ Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter ⋮ A second look at the Gaussian semiclassical soliton ensemble for the focusing nonlinear Schrödinger equation

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