Geodesic
Asimptotic behaviour of the solution of the Cauchy problem for the Volterra chain with step-like initial data
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 335-344

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The connection between a solution of the Volterra chain tending at infinity to constans and the Riemannian curve of genus one modulated in the sence of Witham is described. The leading term of the asymptotic expansion of the solution is constructed. 
@article{TMF_1997_111_3_a1,
     author = {V. L. Vereshchagin},
     title = {Asimptotic behaviour of the solution of the {Cauchy} problem for the {Volterra} chain with step-like initial data},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {335--344},
     publisher = {mathdoc},
     volume = {111},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a1/}
}
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V. L. Vereshchagin. Asimptotic behaviour of the solution of the Cauchy problem for the Volterra chain with step-like initial data. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 335-344. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a1/