Geodesic
On the correspondence of hypercomplex solutions to special unitary groups
Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 29-33

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In the example of the nonlinear Klein–Gordon equation, we demonstrate that the even-indexed, hypergeometric solutions admit matrix representation that can be associated with special unitary groups. For the index 2, in particular, this correspondence is shown to be $1:1$. For the odd index 3, we show that no anticommuting matrices exist in the class of unitary anti-Hermitian matrices. We also show that in the electron-proton transport problem, the solution obtained describes the passage of the particles through the potential barrier. 
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     author = {V. V. Gudkov},
     title = {On the correspondence of hypercomplex solutions to special unitary groups},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {29--33},
     publisher = {mathdoc},
     volume = {113},
     number = {1},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a2/}
}
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V. V. Gudkov. On the correspondence of hypercomplex solutions to special unitary groups. Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 29-33. http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a2/