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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Ya. Prykarpatskyy

Agricultural University; Institute of Mathematics, Ukrainian National Academy of Sciences; I. Franko Drohobych State Pedagogical University

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Email: yarpry@gmail.com
Polônia, Krakow; Kiev; Drohobych

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