The Action of the Virasoro Nonisospectral KdV Symmetries of the Whitham Equations

  • P. G. Grinevich
Conference paper
Part of the Springer Series in Nonlinear Dynamics book series (SSNONLINEAR)


A new set of symmetries of the Whitham equations (averaged Korteweg-de-Vries equations) is constructed. These symmetries form a noncommutative algebra (isomorphic to the algebra of polynomial vector fields on the complex plane), explicitly depend upon the coordinates and time and act nontrivialy at the constant Whitham solutions.


Riemann Surface Noncommutative Algebra Polynomial Vector Field Whitham Equation Auxiliary Linear Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • P. G. Grinevich
    • 1
  1. 1.L.D. Landau Institute for Theoretical PhysicsMoscow, GSP-1Russia

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