Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 12, Tome 187 (1991), pp. 110-128
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B. I. Suleimanov. The second Painlevé equation at a problem about nonlinear effects near caustics. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 12, Tome 187 (1991), pp. 110-128. http://geodesic.mathdoc.fr/item/ZNSL_1991_187_a6/
@article{ZNSL_1991_187_a6,
author = {B. I. Suleimanov},
title = {The second {Painlev\'e} equation at a problem about nonlinear effects near caustics},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {110--128},
year = {1991},
volume = {187},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_187_a6/}
}
TY - JOUR
AU - B. I. Suleimanov
TI - The second Painlevé equation at a problem about nonlinear effects near caustics
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1991
SP - 110
EP - 128
VL - 187
UR - http://geodesic.mathdoc.fr/item/ZNSL_1991_187_a6/
LA - ru
ID - ZNSL_1991_187_a6
ER -
%0 Journal Article
%A B. I. Suleimanov
%T The second Painlevé equation at a problem about nonlinear effects near caustics
%J Zapiski Nauchnykh Seminarov POMI
%D 1991
%P 110-128
%V 187
%U http://geodesic.mathdoc.fr/item/ZNSL_1991_187_a6/
%G ru
%F ZNSL_1991_187_a6
An asymptotics at large time for nonlinear Schrödinger equation is studied in a critical case produced by some problems concerning nonlinear effects near caustics. The asymptotics is described in terms of the second Painlevé transcendent.
