A note on the averaging for single-phase elliptic solutions of the Toda and the Volterra lattices
type: Item
instance of: scholarly article
title: A note on the averaging for single-phase elliptic solutions of the Toda and the Volterra lattices
zbMATH Open document ID: 0812.34011
DOI: 10.1016/0167-2789(94)90025-6
published in: Physica D
publication date: 1995-01-11T00:00:00Z
Mathematics Subject Classification ID: 34A35
Mathematics Subject Classification ID: 34C29
zbMATH DE Number: 710192
zbMATH Keywords: formal solution of the Toda and the Volterra lattices
zbMATH Keywords: averaging of single-phase elliptic solutions
zbMATH Keywords: asymptotics of exact solutions
zbMATH Keywords: Painlevé transcendents
author: A. V. Kitaev
MaRDI profile type: Publication
full work available at URL: 0167-2789(94)90025-6
OpenAlex ID: W2070138663
cites work: Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations
cites work: Symmetrization in the geometric theory of functions of a complex variable
cites work: Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory
cites work: Q4275431
cites work: Q3198181
cites work: Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
cites work: Q4161667
cites work: Q5847356
cites work: Q5843703
cites work: Polynomial Hamiltonians associated with Painleve equations. I
cites work: Q3995996
cites work: Q4692311
cites work: Q3660139
cites work: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
cites work: Connection formulae for the first Painlevé transcendent in the complex domain
cites work: Geometry of the string equations
description: scientific article; zbMATH DE number 710192