On Grassmannian Description of the Constrained KP Hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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LaTeX, 17 pgs

Scientific paper

10.1016/S0393-0440(98)00062-X

This note develops an explicit construction of the constrained KP hierarchy
within the Sato Grassmannian framework. Useful relations are established
between the kernel elements of the underlying ordinary differential operator
and the eigenfunctions of the associated KP hierarchy as well as between the
related bilinear concomitant and the squared eigenfunction potential.

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