Geodesic
Application of inverse scattering method to singular solutions of nonlinear equations. III
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 1, pp. 38-49

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

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. 
@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},
     publisher = {mathdoc},
     volume = {58},
     number = {1},
     year = {1984},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a2/
%G ru
%F TMF_1984_58_1_a2
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/