Geodesic
Soliton solutions of an integrable boundary problem on the half-line for the discrete Toda chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 387-397

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We write formulas for soliton solutions of the discrete Toda chain and pose the integrable boundary value problem for this chain. We find conditions for the parameters {(}discrete spectrum points, transmission coefficients, and the corresponding factors{\rm)} whereby solutions of the integrable boundary value problem are selected from all soliton solutions. As a result, we construct two hierarchies of soliton solutions of the specified problem with even and odd soliton numbers and find an explicit form of the conditions for the parameters.
Keywords: discrete Toda chain, integrable boundary value problem
Mots-clés : soliton. 
@article{TMF_2006_148_3_a3,
     author = {V. L. Vereshchagin},
     title = {Soliton solutions of an integrable boundary problem on the half-line for the discrete {Toda} chain},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {387--397},
     publisher = {mathdoc},
     volume = {148},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a3/}
}
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V. L. Vereshchagin. Soliton solutions of an integrable boundary problem on the half-line for the discrete Toda chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 387-397. http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a3/