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D.E. Pelinovsky

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Rational solutions of the Kadomtsev - Petviashvili hierarchy
and the dynamics of their poles.
I. New form of a general rational solution

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J. Math. Phys. 35, 5820-5830 (1994)

**Abstract:**

A new approach to the construction of the rational solutions
to the hierarchy of the Kadomtsev-Petviashvili equation is
presented. The generalization of the
''superposition formula'' is found to permit the construction
of a new general solution from some partial ones. The features
of the general polynomial factorization and
the types of scattering in the many-body Calogero-Moser
problem are investigated.

**Keywords**:

INTEGRABLE HIERARCHIES, RATIONAL SOLUTIONS, SOLITONS