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Some Classes of Solutions to the Toda Lattice Hierarchy

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Abstract.

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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Authors and Affiliations

  1. Department of Mathematics, University of California, Santa Cruz, CA 95064, USA.¶E-mail: widom@math.ucsc.edu, , , , , , US

    Harold Widom

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  1. Harold Widom
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Received: 12 March 1996 / Accepted: 26 September 1996

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Widom, H. Some Classes of Solutions to the Toda Lattice Hierarchy . Comm Math Phys 184, 653–667 (1997). https://doi.org/10.1007/s002200050078

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  • DOI: https://doi.org/10.1007/s002200050078

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