Application of inverse scattering method to singular solutions of nonlinear equations. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 23-37

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