Geodesic
Oscillating weakly localized solutions of the Korteweg--de Vries equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 2, pp. 199-213

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The classical inverse scattering method is adapted to obtain weakly localized solutions of the KdV equation for which the transmission coefficient of the scattering matrix can vanish for a finite set of momenta. 
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     author = {R. G. Novikov and G. M. Henkin},
     title = {Oscillating weakly localized solutions of the {Korteweg--de} {Vries} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a3/}
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R. G. Novikov; G. M. Henkin. Oscillating weakly localized solutions of the Korteweg--de Vries equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 2, pp. 199-213. http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a3/