On the semiclassical limit of the focusing nonlinear Schrödinger equation

DOI10.1016/S0375-9601(98)00565-9zbMath0941.81029MaRDI QIDQ1966804

Peter D. Miller, Spyridon Kamvissis

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

numerical experimentssemiclassical limitone space dimensionfocusing nonlinear Schrödinger equationspatiotemporal structureill-posed initial value problem

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Cites Work

• Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem
• Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers
• The small dispersion limit of the Korteweg-de Vries equation. III
• Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
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