Integration of equation of Toda periodic chain kind

DOI10.13108/2017-9-2-17zbMath1463.34044OpenAlexW2738601846MaRDI QIDQ5136693

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Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa372

zbMATH Keywords

inverse spectral problemToda chaintrace formulaediscrete Hill operator

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Ordinary lattice differential equations (34A33) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (2)

Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds ⋮ Integration of the modified Korteweg-de Vries-Liouville equation in the class of periodic infinite-gap functions

Cites Work

• Periodic Toda chain with an integral source
• Theory of nonlinear lattices
• On the theory of Hill's matrices and related inverse spectral problems
• Integrability conditions for an analogue of the relativistic Toda chain
• Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• Symmetries as integrability criteria for differential difference equations
• Spectral conservation laws for periodic nonlinear equations of the Melnikov type
• On the Toda Lattice. II: Inverse-Scattering Solution
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