R J Torrence 1988 J. Phys. A: Math. Gen. 21 3205 doi:10.1088/0305-4470/21/15/009
R J Torrence
Show affiliationsA structure-preserving bijection B:M to W from the set M of Toda lattice motions to a natural partition W of the set of linear wave equations in 1+1 dimensions is applied to obtain some simple and related results about both M and W. The Toda lattice motions derived emphasise the existence of qualitatively distinct Toda lattices depending on the overall sign in the defining dynamical equations. The wave equations that arise illustrate a duality on the set of linear wave equations that is induced by the known duality on M generated by interpolating elements of M into motions of Kac-Van Moerbeke lattices.
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 15 (7 August 1988)
R J Torrence 1988 J. Phys. A: Math. Gen. 21 3205
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