Geodesic
On non-linear diffraction in defocusing medium
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 23-31

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Non-linear diffraction on the semitransparent screen for non-linear Schrödinger model is considered. The case of defocusing medium is investigated by the method of matrix Riemann–Hilbert problem. 
@article{ZNSL_1989_179_a2,
     author = {R. F. Bikbaev},
     title = {On non-linear diffraction in defocusing medium},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {23--31},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a2/}
}
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R. F. Bikbaev. On non-linear diffraction in defocusing medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 23-31. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a2/