On some exact solutions of the nonlinear Dirac equation

DOI10.1088/0305-4470/16/2/010zbMath0523.35093OpenAlexW2033599132MaRDI QIDQ3035997

W. I. Fushchich, Vladimir M. Shtelen

Publication date: 1983

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/868ec953d8cd5292278224d4cf8d949f6b2d8424

zbMATH Keywords

exact solutionsnonlinear Dirac equationgroup-theoretical approachgenerators of transformations

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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (9)

Symmetry and exact solutions of multidimensional nonlinear wave equations ⋮ Reductions and exact solutions of a nonlinear Dirac equation ⋮ Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime ⋮ Nonlinear spin and pseudo-spin symmetric Dirac equations ⋮ Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation ⋮ Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime ⋮ Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation ⋮ Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential ⋮ Nonclassical symmetry reductions of the Boussinesq equation

Cites Work

• Quantum field theory techniques in graphical enumeration
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