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Perturbations of the Defocusing Nonlinear Schrödinger Equation

✍ Scribed by B. Grébert; T. Kappeler

Publisher
SP Birkhäuser Verlag Basel
Year
2003
Tongue
English
Weight
318 KB
Volume
71
Category
Article
ISSN
1424-9286

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📜 SIMILAR VOLUMES

Exponentially small asymptotics of solut
Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation
✍ A.H. Vartanian 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 492 KB

The matrix Riemann-Hilbert factorization approach is used to derive the leading-order, exponentially small asymptotics as t --\* +oo such that x/t ~ O(1) of solutions to the Cauchy problem for the defocusing nonlinear Schr6dinger equation, iOtu + 02xu -2([ul 2 -1)u = 0, with finite density initial d

On the Whitham equations for the semicla
On the Whitham equations for the semiclassical limit of the defocusing nonlinear Schrödinger equation
✍ 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