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Steen–Ermakov–Pinney Equation and Integrable Nonlinear Deformation of the One-Dimensional Dirac Equation

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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.

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Authors and Affiliations

  1. Agricultural University, Krakow, Poland

    Ya. Prykarpatskyy

  2. Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev, Ukraine

    Ya. Prykarpatskyy

  3. I. Franko Drohobych State Pedagogical University, Drohobych, Ukraine

    Ya. Prykarpatskyy

Authors
  1. Ya. Prykarpatskyy
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Correspondence to Ya. Prykarpatskyy.

Additional information

Published in Neliniini Kolyvannya, Vol. 20 No. 2, pp. 267–273, April–June, 2017.

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Prykarpatskyy, Y. Steen–Ermakov–Pinney Equation and Integrable Nonlinear Deformation of the One-Dimensional Dirac Equation. J Math Sci 231, 820–826 (2018). https://doi.org/10.1007/s10958-018-3851-8

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  • DOI: https://doi.org/10.1007/s10958-018-3851-8

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