Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert problem approach

DOI10.1016/j.physd.2016.03.009zbMath1415.35256arXiv1603.03341OpenAlexW2293714062MaRDI QIDQ2000237

Alexander Tovbis, Gennady A. El

Publication date: 28 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03341

zbMATH Keywords

Whitham equationsRiemann-Hilbert problem approachsemiclassical limit of the focusing NLS

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differentials on Riemann surfaces (30F30)

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