Geodesic
Nonlinear systems with exponential interaction that are generated by Kählerian chiral models
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 1, pp. 63-72 
A. A. Bytsenko; M. G. Tseitlin. Nonlinear systems with exponential interaction that are generated by Kählerian chiral models. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 1, pp. 63-72. http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a6/
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     title = {Nonlinear systems with exponential interaction that are generated by {K\"ahlerian} chiral models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {52},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Pohlmeyer transformation relating the $O(3)$-$\sigma$-model and the sine-Gordon equation is generalized to the case of a Kählerian chiral model. The transformation leads to matrix systems of the form $B^{i}_{z\bar{z}}+C^{ij}\exp B^{j}+D^i=0$ (where $C^ij$ are not Cartan matrices with the exception of one of the two-dimensional Cartan matrices of the Kac–Moody algebra) which have solutions obtained from the original chiral model (instantons, merons, complete solutions with finite action of the $CP^{n}$ and $O(2k+1)$-models). The construction also leads to the sh-Gordon and Doddl–Bullough equations.

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