Geodesic
Reductions and exact solutions of a~nonlinear Dirac equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 1, pp. 35-44

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_1987_72_1_a3,
     author = {W. I. Fushchych and V. M. Shtelen'},
     title = {Reductions and exact solutions of a~nonlinear {Dirac} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {35--44},
     publisher = {mathdoc},
     volume = {72},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_72_1_a3/}
}
TY  - JOUR
AU  - W. I. Fushchych
AU  - V. M. Shtelen'
TI  - Reductions and exact solutions of a~nonlinear Dirac equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 35
EP  - 44
VL  - 72
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_72_1_a3/
LA  - ru
ID  - TMF_1987_72_1_a3
ER  - 
%0 Journal Article
%A W. I. Fushchych
%A V. M. Shtelen'
%T Reductions and exact solutions of a~nonlinear Dirac equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 35-44
%V 72
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1987_72_1_a3/
%G ru
%F TMF_1987_72_1_a3
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/