Abstract
It is shown how different generalizations of Toda lattice problems occur in the context of eighteenth and nineteenth century mathematics. A possible classification and applications of different generalizations of the Toda lattice are given, with special attention to gauge theory.KeywordsGauge GroupRiccati EquationSoliton SolutionDarboux TransformationToda LatticeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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