Higher (Non-isospectral) Symmetries of the Kadomtsev-Petviashvili Equations and the Virasoro Action on Riemann Surfaces

  • P. G. Grinevich
  • A. Yu. Orlov
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)


In this paper we study the connections between two objects: vector fields action on the Riemann surfaces and non-isospectral symmetries. This action and connected representations of the Virasoro algebra play important role in the string and conformal theories.


Riemann Surface Riemann Problem Connected Representation Auxiliary Linear Operator Akhiezer Function 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1990

Authors and Affiliations

  • P. G. Grinevich
    • 1
  • A. Yu. Orlov
    • 2
  1. 1.L.D. Landau Institute for Theoretical PhysicsMoscowUSSR
  2. 2.Oceanology InstituteMoscowUSSR

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