Some Classes of Solutions to the Toda Lattice Hierarchy

Details Some Classes of Solutions to the Toda Lattice Hierarchy Some Classes of Solutions to the Toda Lattice Hierarchy

1996-02-08

arxiv.org/abs/solv-int/9602001v3

Commun.Math.Phys. 184 (1997) 653-667

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 18 pages. Results generalized and applications to the Toda equations added

Scientific paper

10.1007/s002200050078

We apply an analogue of the Zakharov-Shabat dressing method to obtain
infinite matrix solutions to the Toda lattice hierarchy. Using an operator
transformation we convert some of these into solutions in terms of integral
operators and Fredholm determinants. Others are converted into a class of
operator solutions to the $l$-periodic Toda hierarchy.

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