Geodesic
Study of~the semi-infinite Toda chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 12-23

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The semi-infinite Toda chain is studied. A procedure for solving the corresponding system of differential–difference equations taking into account both initial and boundary conditions is developed. The case when one end of the chain is fixed up is investigated in detail. 
@article{TMF_1989_81_1_a1,
     author = {L. A. Sakhnovich},
     title = {Study of~the semi-infinite {Toda} chain},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {12--23},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a1/}
}
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L. A. Sakhnovich. Study of~the semi-infinite Toda chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 12-23. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a1/