Email this article Steen–Ermakov–Pinney Equation and Integrable Nonlinear Deformation of the One-Dimensional Dirac Equation
- Authors: Prykarpatskyy Y.1,2,3
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Affiliations:
- Agricultural University
- Institute of Mathematics, Ukrainian National Academy of Sciences
- I. Franko Drohobych State Pedagogical University
- Issue: Vol 231, No 6 (2018)
- Pages: 820-826
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241240
- DOI: https://doi.org/10.1007/s10958-018-3851-8
- ID: 241240
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Abstract
The paper deals with nonlinear one-dimensional Dirac equation. We describe the set of its invariants by means of the deformed linear Dirac equation using the fact that two ordinary differential equations are equivalent if their sets of invariants coincide.
About the authors
Ya. Prykarpatskyy
Agricultural University; Institute of Mathematics, Ukrainian National Academy of Sciences; I. Franko Drohobych State Pedagogical University
Author for correspondence.
Email: yarpry@gmail.com
Poland, Krakow; Kiev; Drohobych
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