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Recursion operators and Hamiltonian structures in Sato's theory

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Abstract

Following Sato's famous construction of the KP hierarchy as a hierarchy of commuting Lax equations on the algebra of microdifferential operators, it is shown thatn-reduction leads to a recursive scheme for these equations. Explicit expressions for the recursion operators and the Hamiltonian operators are obtained.

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Article01 December 2015

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Author information

Authors and Affiliations

  1. Fachbereich 17-Mathematik, GH-Universitaet Kassel, Nora-Platiel-Str.1, 3500, Kassel, West Germany

    Walter Strampp

  2. Fachbereich 17-Mathematik/Informatik, GH-Universitaet Paderborn, Warburger Str.100, 4790, Paderborn, West Germany

    Walter Oevel

Authors
  1. Walter Strampp

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  2. Walter Oevel

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