Geodesic
A class of integrable evolutionary vector equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 13-20

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We present the results of classifying integrable evolutionary $N$-component vector equations and construct Bäcklund transformations for each equation as proof of the exact integrability.
Keywords: vector evolutionary equations, Bäcklund transformations. 
@article{TMF_2005_142_1_a2,
     author = {M. Yu. Balakhnev},
     title = {A class of integrable evolutionary vector equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {13--20},
     publisher = {mathdoc},
     volume = {142},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a2/}
}
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M. Yu. Balakhnev. A class of integrable evolutionary vector equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 13-20. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a2/