The implicit solution of the geometric optics equations i.e. the modulation equations arising from the WKB Ansatz of Ž . the defocusing nonlinear Schrodinger NLS equation is known to be expressible in terms of the classical hodograph ẗransform. In this note, the solution procedure for the 2 = 2 sys
On the exact solution for smooth pulses of the defocusing nonlinear Schrödinger modulation equations prior to breaking
✍ Scribed by Forest, M G; Rosenberg, C-J; Wright, O C
- Book ID
- 120639800
- Publisher
- Institute of Physics
- Year
- 2009
- Tongue
- English
- Weight
- 567 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0951-7715
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
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