Geodesic
Application of inverse scattering method to singular solutions of nonlinear equations. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 163-180 
V. A. Arkad'ev; A. K. Pogrebkov; M. K. Polivanov. Application of inverse scattering method to singular solutions of nonlinear equations. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 163-180. http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a0/
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     title = {Application of inverse scattering method to singular solutions of nonlinear {equations.~I}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Jost solutions and the transition matrix for the Zakharov–Shabat system are constructed in the case of potentials that have a finite number of $x^{-1}$ singularities. The analytic properties of the transition matrix are investigated and scattering data are introduced.

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