𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


On the exact solution of the geometric o
✍ Otis C. Wright; M. Gregory Forest; K.T.-R. McLaughlin 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 63 KB

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

Exponentially small asymptotics of solut
✍ 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
✍ 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