A NOTE ON THE AVERAGING FOR SINGLE-PHASE ELLIPTIC SOLUTIONS OF THE TODA AND THE VOLTERRA LATTICES

Authors
KITAEV AV
Citation
Av. Kitaev, A NOTE ON THE AVERAGING FOR SINGLE-PHASE ELLIPTIC SOLUTIONS OF THE TODA AND THE VOLTERRA LATTICES, Physica. D, 74(1-2), 1994, pp. 45-58
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
74
Issue
1-2
Year of publication
1994
Pages
45 - 58
Database
ISI
SICI code
0167-2789(1994)74:1-2<45:ANOTAF>2.0.ZU;2-H
Abstract
It is shown that some formal solutions of the Toda and the Volterra la ttices obtained via the averaging of single-phase elliptic solutions a re nothing but special asymptotics of exact solutions of the lattices in terms of the second and the fourth Painleve transcendents.