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Reductions and exact solutions of a nonlinear Dirac equation

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Publication:1100359
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DOI10.1007/BF01035695zbMath0639.35076OpenAlexW2008632739MaRDI QIDQ1100359

W. I. Fushchich, Vladimir M. Shtelen

Publication date: 1987

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01035695


zbMATH Keywords

exact solutionsspinor fieldnonlinear Dirac equationPoincaré-invariant equations


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)





Cites Work

  • Symmetry and exact solutions of multidimensional nonlinear wave equations
  • On some exact solutions of the nonlinear Dirac equation
  • Symmetry reduction for nonlinear relativistically invariant equations
  • Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
  • Complex potential equations I. A technique for solution
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