Literature DB >> 16592244

On some periodic toda lattices.

M Kac1, P Van Moerbeke.   

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.

Year:  1975        PMID: 16592244      PMCID: PMC432592          DOI: 10.1073/pnas.72.4.1627

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  2 in total

1.  A complete solution of the periodic Toda problem.

Authors:  M Kac; P Moerbeke
Journal:  Proc Natl Acad Sci U S A       Date:  1975-08       Impact factor: 11.205

2.  A new approach to integrable evolution equations on the circle.

Authors:  A S Fokas; J Lenells
Journal:  Proc Math Phys Eng Sci       Date:  2021-01-06       Impact factor: 2.704

  2 in total

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