Geodesic
Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 257-276 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the nonstationary Schrodinger equation with the potential being a perturbation of a generic one-dimensional potential by means of a decaying two-dimensional function in the framework of the extended resolvent approach. We give the corresponding modification of the Jost and advanced/retarded solutions and spectral data and present relations between them.
Keywords: inverse scattering transform, resolvent approach, Kadomtsev–Petviashvili equation. 
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M. Boiti; F. Pempinelli; A. K. Pogrebkov; B. Prinari. Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 257-276. http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a3/

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