Geodesic
Reductions and exact solutions of a nonlinear Dirac equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 1, pp. 35-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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Ansätze are constructed which reduce the Poincaré-invariant equation for the spinor field $\Psi (x_0, x_1, x_2, x_3)$ to a system of partial differential equations for the four-component function $\varphi(\omega)$ depending on three invariant variables $\omega=\{\omega_1(x), \omega_2(x), \omega_3(x)\}$. Multiparameter families of exact solutions of the nonlinear Dirac equation with the mass term are found. The $P(1.3)$-nonequivalent Ansätze for a vector field are constructed. 
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     title = {Reductions and exact solutions of a~nonlinear {Dirac} equation},
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}
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W. I. Fushchych; V. M. Shtelen'. Reductions and exact solutions of a nonlinear Dirac equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 1, pp. 35-44. http://geodesic.mathdoc.fr/item/TMF_1987_72_1_a3/

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