Steen – Ermakov – Pinney equation and integrable nonlinear deformation of one-dimensional Dirac equation

• Published in: Нелінійні коливання
• Date: 2017
• Main Author: Prykarpatsky, Y.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177305
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Steen – Ermakov – Pinney equation and integrable nonlinear deformation of one-dimensional Dirac equation / Y.A. Prykarpatsky // Нелінійні коливання. — 2017. — Т. 20, № 2. — С. 267-273 — Бібліогр.: 11 назв. — англ.

The paper deals with nonlinear one-dimensional Dirac equation. We describe its invariants set by means of the deformed linear Dirac equation, using the fact that two ordinary differential equations are equivalent if their sets of invariants coincide. Розглянуто одновимiрне нелiнiйне рiвняння Дiрака...