Classical integrability of Schrödinger sigma models andq-deformed Poincaré symmetry

Solving (3+1)-dimensional non-linear Sch

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

✍ Hang-yu Ruan; Yi-xin Chen 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 100 KB

## 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