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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2005_144_2_a3,
     author = {M. Boiti and F. Pempinelli and A. K. Pogrebkov and B. Prinari},
     title = {Spectral {Theory} of the {Nonstationary} {Schrodinger} {Equation} with a {Two-Dimensionally} {Perturbed} {Arbitrary} {One-Dimensional} {Potential}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {257--276},
     publisher = {mathdoc},
     volume = {144},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a3/}
}
TY  - JOUR
AU  - M. Boiti
AU  - F. Pempinelli
AU  - A. K. Pogrebkov
AU  - B. Prinari
TI  - Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2005
SP  - 257
EP  - 276
VL  - 144
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a3/
LA  - ru
ID  - TMF_2005_144_2_a3
ER  - 
%0 Journal Article
%A M. Boiti
%A F. Pempinelli
%A A. K. Pogrebkov
%A B. Prinari
%T Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2005
%P 257-276
%V 144
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a3/
%G ru
%F TMF_2005_144_2_a3
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/