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On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case

✍ Scribed by Alexander Tovbis; Stephanos Venakides; Xin Zhou

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 508 KB
Volume: 59
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.20142

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📜 SIMILAR VOLUMES

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✍ Alexander Tovbis; Stephanos Venakides; Xin Zhou 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 999 KB

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We study the Whitham equations, which describe the semiclassical limit of the defocusing nonlinear Schrödinger equation. The limit is governed by a pair of hyperbolic equations of two independent variables for a short time starting from the initial time. After this hyperbolic solution breaks down, t