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Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation

✍ Scribed by T.I. Lakoba


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
260 KB
Volume
28
Category
Article
ISSN
0749-159X

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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