Geodesic
First integrals of generalized Toda chains
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 349-357

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We construct a zero-curvature representation for generalized Toda chains. Evaluating the first integrals amounts to multiplying the matrices that depend linearly on the fields and satisfy a given multiplication table. 
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     author = {V. E. Adler and A. B. Shabat},
     title = {First integrals of generalized {Toda} chains},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {349--357},
     publisher = {mathdoc},
     volume = {115},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a1/}
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V. E. Adler; A. B. Shabat. First integrals of generalized Toda chains. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 349-357. http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a1/