Geodesic
Application of inverse scattering method to singular solutions of nonlinear equations. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 23-37 
V. A. Arkad'ev; A. K. Pogrebkov; M. K. Polivanov. Application of inverse scattering method to singular solutions of nonlinear equations. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 23-37. http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a2/
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     title = {Application of inverse scattering method to singular solutions of nonlinear equations. {II}},
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     year = {1983},
     volume = {54},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The inverse scattering method is generalized to the case of the Zakharov–Shabat system with singular potentials.

[1] Arkadev V. A., Pogrebkov A. K., Polivanov M. K., TMF, 53:2 (1982), 163–180 | MR

[2] Gakhov F. D., Cherskii Yu. N., Uravneniya tipa svertki, Nauka, M., 1978, 295 pp. | MR | Zbl

[3] Mikhailov L. G., DAN SSSR, 139:2 (1961), 294–297 ; Беркович Ф. Д., Изв. ВУЗов, матем., 1967, No 4, 13–18 | MR | Zbl

[4] Ablowitz M. J., Kaup D. J., Newell A. C., Segur H., Studies Appl. Math., 53:4 (1974), 249–315 | DOI | MR | Zbl

[5] Faddeev L. D., Itogi nauki i tekhniki. Sovremennye problemy matematiki, 3, VINITI, 1974, 93–180 | MR

[6] Gerdzhikov V. S., Khristov E. Kh., Matem. zametki, 28:4 (1980), 501–512 | MR | Zbl