Calogero-Moser hierarchy and KP hierarchy
نویسنده
چکیده
In [1], Airault, McKean and Moser observed that the motion of poles of a rational solution to the K-dV or Boussinesq equation obeys the Calogero-Moser dynamical system [2, 3, 4] with an extra condition on the configuration of poles. In [8], Krichever observed that the motion of poles of a solution to the KP equation which is rational in t1 obeys the Calogero-Moser dynamical system. In this note we shall generalize those results to the KP hierarchy. Noting that a pole of a KP solution comes from a zero of the corresponding τ -function, the statement becomes thus
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