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Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods

✍ Scribed by Pietro dʼAvenia; Alessio Pomponio; David Ruiz


Book ID
113710292
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
250 KB
Volume
262
Category
Article
ISSN
0022-1236

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On the Whitham equations for the semicla
✍ Fei-Ran Tian; Jian Ye 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 448 KB 👁 2 views

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