Geodesic
The $t\to\infty$ asymptotic regime of the Cauchy problem solution for the Toda chain with threshold-type initial data
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 429-440 
I. M. Guseinov; A. Kh. Khanmamedov. The $t\to\infty$ asymptotic regime of the Cauchy problem solution for the Toda chain with threshold-type initial data. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 429-440. http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a6/
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     author = {I. M. Guseinov and A. Kh. Khanmamedov},
     title = {The $t\to\infty$ asymptotic regime of the {Cauchy} problem solution for the {Toda} chain with threshold-type initial data},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {429--440},
     year = {1999},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain formulas allowing us to find solutions of the Toda chain using the inverse scattering transform method and investigate the $t\to\infty$ asymptotic behavior of the solutions.

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