✦ LIBER ✦

Solving (3+1)-dimensional non-linear Schrödinger equation by means of (3+1)-dimensional Painlevé integrable model

✍ Scribed by Hang-yu Ruan; Yi-xin Chen

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 100 KB
Volume: 25
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.258

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A conformal invariant asymptotic expansion approach is used to solve the (3+1)‐dimensional non‐linear Schrödinger (NLS) equation. Some new (3+1)‐dimensional integrable models under the condition that they are conformal invariant and possess Painlevé property are obtained. These Painlevé integrable models can be used to solve the (3+1)‐dimensional NLS equation approximately. In some special cases, the approximate solutions become exact. Copyright © 2002 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

A (3+1)-dimensional Painlevé integrable

A (3+1)-dimensional Painlevé integrable model obtained by deformation

✍ Jun Yu; Zhimei Lou 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 70 KB

## Abstract To find some non‐trivial higher‐dimensional integrable models (especially in (3+1) dimensions) is one of the most important problems in non‐linear physics. An efficient deformation method to obtain higher‐dimensional integrable models is proposed. Starting from (2+1)‐dimensional linear