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Journal of Soviet Mathematics

, Volume 21, Issue 3, pp 335–345 | Cite as

Rational solutions of the Zakharov-Shabat equations and completely integrable systems of N particles on a line

  • I. M. Krichever
Article

Abstract

One constructs all the decreasing rational solutions of the Kadomtsev-Petviashvili equations. The presented method allows us to identify the motion of the poles of the obtained functions with the motion of a system of N particles on a line with a Hamiltonian of the Calogero-Moser type. Thus, this Hamiltonian system is imbedded in the theory of the algebraic-geometric solutions of the Zakharov-Shabat equations.

Keywords

Integrable System Hamiltonian System Rational Solution 
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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • I. M. Krichever

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