Exact localized solutions of a family of two-dimensional nonlinear spinor fields

DOI10.1063/1.527325zbMath0621.70008OpenAlexW1993249286MaRDI QIDQ3758269

Joachim Stubbe

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527325

zbMATH Keywords

explicit solutionslocalized solutionsnonlinear spinor fieldsKlein-Gordon limitclassical Dirac equationlogarithmic self- interactionsNonlinear scalar fields

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Partial differential equations of mathematical physics and other areas of application (35Q99) Hamiltonian and Lagrangian mechanics (70H99) Classical field theories (70Sxx)

Related Items (9)

Externally driven nonlinear Dirac equation revisited: theory and simulations ⋮ Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity ⋮ Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime ⋮ Numerical methods for nonlinear Dirac equation ⋮ Lax pair and new exact solutions of the nonlinear Dirac equation ⋮ Nonlinear Dirac equation solitary waves under a spinor force with different components ⋮ Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions ⋮ HIGGS FIELD AND LOCALIZATION PROBLEM ⋮ Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential

Cites Work

• A soluble relativistic field theory
• Existence of localized solutions for a classical nonlinear Dirac field
• On the definition of currents and the action principle in field theories of one spatial dimension
• Nonlinear Spinor Field

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