THE VECTOR k–CONSTRAINED KP HIERARCHY AND SATO’S GRASSMANNIAN
نویسندگان
چکیده
We use the representation theory of the infinite matrix group to show that (in the polynomial case) the n–vector k–constrained KP hierarchy has a natural geometrical interpretation on Sato’s infinite Grassmannian. This description generalizes the the k–reduced KP or Gelfand–Dickey hierarchies.
منابع مشابه
AKNS hierarchy coupled with Tyurin parameters
An elliptic analogue of the ordinary AKNS hierarchy is constructed. This gives an example of Krichever’s construction of Lax and zero-curvature equations on an algebraic curve. In addition to the usual AKNS fields, this hierarchy contains the so called Tyurin parameters as dynamical variables. The construction of the hierarchy resembles that of the ordinary AKNS hierarchy. A half of the Tyurin ...
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