𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical inverse scattering transform for the periodic, defocusing nonlinear Schrödinger equation

✍ Scribed by A.R. Osborne


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
781 KB
Volume
176
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The Schrödinger equation and a multidime
✍ Swanhild Bernstein 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB

## Abstract The Schrödinger equation is one of the most important equations in mathematics, physics and also engineering. We outline some connections between transformations of non‐linear equations, the Schrödinger equation and the inverse scattering transform. After some remarks on generalizations

Lp−Lp Estimates for the Schrödinger Equa
✍ Ricardo Weder 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 286 KB

In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin

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