A note on the averaging for single-phase elliptic solutions of the Toda and the Volterra lattices

DOI10.1016/0167-2789(94)90025-6zbMath0812.34011OpenAlexW2070138663MaRDI QIDQ1342185

Alexander V. Kitaev

Publication date: 11 January 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90025-6

zbMATH Keywords

Painlevé transcendentsasymptotics of exact solutionsaveraging of single-phase elliptic solutionsformal solution of the Toda and the Volterra lattices

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Ordinary differential equations of infinite order (34A35)

Related Items (1)

On the Construction of Elliptic Solutions of Integrable Birational Maps

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• Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations
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