Similarity solutions of nonlinear Dirac equations and conserved currents

DOI10.1063/1.525202zbMath0486.35074OpenAlexW2048269914MaRDI QIDQ3946547

W. Erig, Willi-Hans Steeb, Walter Strampp

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525202

zbMATH Keywords

conservation lawssimilarity solutionsconserved currentsnonlinear Dirac equationscontinuous symmetriesHamilton-Cartan formalismfirst- order Lagrangians

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

On the integrability of nonlinear Dirac equations ⋮ Continuous symmetries of three-dimensional diffusion equations

Cites Work

• Noether's theorem and Steudel's conserved currents for the sine-Gordon equation
• The Hamilton-Cartan formalism in the calculus of variations
• Soliton solutions of nonlinear Dirac equations
• Symmetries and vacuum Maxwell’s equations
• Symmetries and the Dirac equation
• Prolongation structures of nonlinear evolution equations
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems

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