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Semiclassical Focusing Nonlinear Schrodinger Equation I: Inverse scattering map and its evolution for radiative initial data

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Publication:5439937
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DOI10.1093/imrn/rnm094zbMath1142.35089OpenAlexW2333447966MaRDI QIDQ5439937

Stephanos Venakides, Alexander Tovbis, Xin Zhou

Publication date: 30 January 2008

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

Full work available at URL: https://doi.org/10.1093/imrn/rnm094

zbMATH Keywords

Riemann-Hilbert problemnonlinear Schrödinger equationsemiclassical solutioninverse scattering map


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15)


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Nonlinear steepest descent asymptotics for semiclassical limit of integrable systems: Continuation in the parameter space, Phase transitions and equilibrium measures in random matrix models, Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation



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