On Some Periodic Toda Lattices

Mark Kac, Pierre van Moerbeke

Type: Article

Publication Date: 1975-04-01

Citations: 107

DOI: https://doi.org/10.1073/pnas.72.4.1627

Abstract

A discrete version of Floquet's theory is developed and applied to a system of non-linear differential equations related to the periodic Toda lattice. A special solution previously found by Toda is thus seen to fit into the formalism of inverse scattering problems.

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Proceedings of the National Academy of Sciences - View
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+	On the Solution of a Class of Nonlinear Partial Difference Equations	1977	Mark J. Ablowitz J. F. Ladik
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Works Cited by This (1)

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+	On the determination of a Hill's equation from its spectrum	1965	Harry Hochstadt