Geodesic
Rational solitons of the Veselov--Novikov equations are reflectionless two-dimensional potentials at fixed energy
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 2, pp. 307-310

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Explicit examples are constructed of two-dimensional rational potentials that decrease at infinity and are reflectionless for given energy. It is shown that these potentials correspond to soliton solutions of the (2+1)-dimensional nonlinear equations found by Veselov and Novikov. 
@article{TMF_1986_69_2_a14,
     author = {P. G. Grinevich},
     title = {Rational solitons of the {Veselov--Novikov} equations are reflectionless two-dimensional potentials at fixed energy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {307--310},
     publisher = {mathdoc},
     volume = {69},
     number = {2},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_69_2_a14/}
}
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P. G. Grinevich. Rational solitons of the Veselov--Novikov equations are reflectionless two-dimensional potentials at fixed energy. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 2, pp. 307-310. http://geodesic.mathdoc.fr/item/TMF_1986_69_2_a14/