Invariant measures for the2D-defocusing nonlinear Schrödinger equation
✍ Scribed by Jean Bourgain
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 952 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
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
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