On some exact solutions of the nonlinear Dirac equation
- 1 February 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (2) , 271-277
- https://doi.org/10.1088/0305-4470/16/2/010
Abstract
Multiparametrical exact solutions of the nonlinear Dirac equation are found within the framework of the group-theoretical approach. A procedure for generating new solutions from known ones is presented. The solutions obtained are analytic in the coupling constant, vanishing at infinity and describe the oscillations with the corresponding solutions of the equation without self-interaction as amplitude.Keywords
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