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The solution of Cauchy's problem for the Toda lattice with limit periodic initial data

Journal Article · · Sbornik. Mathematics
 [1]
  1. Baku State University, Baku (Azerbaijan)
Cauchy's problem for Toda lattices with initial data equal to the sum of a periodic and a rapidly decreasing sequence is solved with the use of the inverse scattering method. A method allowing one to find a limit periodic solution of the Toda lattice from a known periodic solution is described. The existence and uniqueness of a limit periodic solution is proved. Bibliography: 17 titles.
OSTI ID:
21096789
Journal Information:
Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 3 Vol. 199; ISSN 1064-5616
Country of Publication:
United States
Language:
English

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