Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 1, pp. 38-49
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V. A. Arkad'ev. Application of inverse scattering method to singular solutions of nonlinear equations. III. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 1, pp. 38-49. http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a2/
@article{TMF_1984_58_1_a2,
author = {V. A. Arkad'ev},
title = {Application of inverse scattering method to singular solutions of nonlinear equations. {III}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {38--49},
year = {1984},
volume = {58},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a2/}
}
TY - JOUR
AU - V. A. Arkad'ev
TI - Application of inverse scattering method to singular solutions of nonlinear equations. III
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1984
SP - 38
EP - 49
VL - 58
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a2/
LA - ru
ID - TMF_1984_58_1_a2
ER -
%0 Journal Article
%A V. A. Arkad'ev
%T Application of inverse scattering method to singular solutions of nonlinear equations. III
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 38-49
%V 58
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a2/
%G ru
%F TMF_1984_58_1_a2
An existence and uniqueness theorem is proved for the solution of the Cauchy problem for the nonlinear Schrödinger equation with repulsion in the class of functions with singularities of the type $x^{-1}$. The behavior of the singularity lines of the solution in the $(x,t)$ plane is described.
