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The Toda hierarchy and the KdV hierarchy

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Abstract

This paper considers the relation between the periodic KdV hierarchy and the limit of the periodic Toda hierarchies. By choosing the initial data of the Toda flows in a canonical way, the behavior of a certain Toda flow can mimic KdV flows. Conjecturally, a method of deforming the KdV hierarchy is given.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, CA, USA

    D. Gieseker

Authors
  1. D. Gieseker
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Additional information

Communicated by S.-T. Yau

Partially supported by NSF Grant DMS 93-05657.

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Gieseker, D. The Toda hierarchy and the KdV hierarchy. Commun.Math. Phys. 181, 587–603 (1996). https://doi.org/10.1007/BF02101288

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  • DOI: https://doi.org/10.1007/BF02101288

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