Some Classes of Solutions to the Toda Lattice Hierarchy
Abstract
We apply an analogue of the ZakharovShabat 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 lperiodic Toda hierarchy.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 1997
 DOI:
 10.1007/s002200050078
 arXiv:
 arXiv:solvint/9602001
 Bibcode:
 1997CMaPh.184..653W
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 High Energy Physics  Theory;
 Mathematics  Functional Analysis
 EPrint:
 LaTeX file, 18 pages. Results generalized and applications to the Toda equations added