Geodesic
Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 150-154 
A. N. Leznov; M. V. Saveliev. Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 150-154. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a13/
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     author = {A. N. Leznov and M. V. Saveliev},
     title = {Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {150--154},
     year = {1984},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper gives the construction of a large class of two-dimensional supersymmetric nonlinear systems that are associated through a Lax type representation with the local part of an arbitrary Lie superalgebra $\mathfrak G$ with Grassmann structure. The grading of $\mathfrak G$ is realized by the Cartan element of its subsuperalgebra $\mathrm{osp}(l, 2)$. Sufficient conditions are established for exact integrability of the obtained systems, the simplest special ease of which is the supersymmetric generalization of the two-dimensional Toda chain.

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