English

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

Dynamical Systems 2019-11-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1702.03816,
  title  = {Steen-Ermakov-Pinney equation and integrable nonlinear deformation of one-dimensional Dirac equation},
  author = {Yarema Prykarpatskyy},
  journal= {arXiv preprint arXiv:1702.03816},
  year   = {2019}
}