Geodesic
Matrix sine-Gordon equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 353-365 
V. A. Andreev. Matrix sine-Gordon equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 353-365. http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a2/
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     author = {V. A. Andreev},
     title = {Matrix {sine-Gordon} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {353--365},
     year = {1990},
     volume = {84},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A generalization of the sine-Gordon equation to the case when the unknown function is a matrix is considered. For it, Bäcklund transformations are constructed and used to find several exact solutions. The algebraic structure of the linear problem associated with this equation is studied. A connection between matrix Toda chains and self-dual Yang–Mills equations is found.

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