Geodesic
Jordan algebras and generalized Korteweg--de~Vries equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 3, pp. 391-403

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Integrability criteria for many-field Korteweg–de Vries equations are obtained. A one-to-one correspondence between such equations and Jordan algebras is established. It is shown that the so-called irreducible systems correspond to simple Jordan algebras. 
@article{TMF_1991_87_3_a2,
     author = {S. I. Svinolupov},
     title = {Jordan algebras and generalized {Korteweg--de~Vries} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {391--403},
     publisher = {mathdoc},
     volume = {87},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_3_a2/}
}
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S. I. Svinolupov. Jordan algebras and generalized Korteweg--de~Vries equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 3, pp. 391-403. http://geodesic.mathdoc.fr/item/TMF_1991_87_3_a2/