Geodesic
Exact solutions of $G$-invariant chiral equations
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 710-716

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A method is suggested for solving the chiral equations $(\alpha g_{,z}g^{-1})_{,\bar z}+(\alpha g_{,z}g^{-1})_{,z}=0$ where $g$ belongs to some Lie group $G$. The solution is written out in terms of harmonic maps. The method can be used even for some infinite-dimensional Lie groups. 
@article{MZM_1995_58_5_a5,
     author = {T. Matos},
     title = {Exact solutions of $G$-invariant chiral equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {710--716},
     publisher = {mathdoc},
     volume = {58},
     number = {5},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a5/}
}
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T. Matos. Exact solutions of $G$-invariant chiral equations. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 710-716. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a5/