Geodesic
Asymptotic transitions from discrete to continuous models
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 323-327

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For solutions of discrete evolution equations accurate estimates are given, and assertions are obtained on asymptotic transitions to solutions of integrable continuous equations such as the Korteweg–de Vries equation and the nonlinear Schrödinger equation 
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     author = {L. A. Kalyakin},
     title = {Asymptotic transitions from discrete to continuous models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--327},
     publisher = {mathdoc},
     volume = {76},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a0/}
}
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L. A. Kalyakin. Asymptotic transitions from discrete to continuous models. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 323-327. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a0/