Geodesic
On the rational solutions of Zakharov–Shabat equations and completely integrable systems of $N$ particles on a line
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 117-130 Cet article a éte moissonné depuis la source Math-Net.Ru

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All decreasing rational solutions of the Kadomtzev–Petviashvili equations are constructed. The motion of the poles of a solution is identified with the motion of $N$ particles on the line via Calogero–Moser hamiltonians. This Hamiltonian system is thus included in the theory of algebro-geometric solutions of Zakharov–Shabat equations. 
@article{ZNSL_1979_84_a10,
     author = {I. M. Krichever},
     title = {On the rational solutions of {Zakharov{\textendash}Shabat} equations and completely integrable systems of $N$~particles on a~line},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {117--130},
     year = {1979},
     volume = {84},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a10/}
}
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I. M. Krichever. On the rational solutions of Zakharov–Shabat equations and completely integrable systems of $N$ particles on a line. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 117-130. http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a10/