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On the Toda and Kac–van Moerbeke hierarchies

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Abstract.

We provide a comprehensive treatment of the single and double commutation method as a tool for constructing soliton solutions of the Toda and Kac–van Moerbeke hierarchy on arbitrary background. In addition, we present a novel construction based on the single commutation method. As an illustration we compute the N-soliton solution of the Toda and Kac–van Moerbeke hierarchy.

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Authors and Affiliations

  1. Institut für Reine und Angewandte Mathematik, RWTH Aachen, D-52056 Aachen, Germany (e-mail: gerald@mat.univie.ac.at, URL: http://www.mat.univie.ac.at/~gerald/) , , , , , , DE

    Gerald Teschl

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  1. Gerald Teschl
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Received November 20, 1997; in final form July 7, 1998

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Teschl, G. On the Toda and Kac–van Moerbeke hierarchies. Math Z 231, 325–344 (1999). https://doi.org/10.1007/PL00004732

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  • DOI: https://doi.org/10.1007/PL00004732

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