Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 17-37
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V. A. Arkad'ev; A. K. Pogrebkov; M. K. Polivanov. Singular solutions of the KdV equation and the inverse scattering method. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 17-37. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a1/
@article{ZNSL_1984_133_a1,
author = {V. A. Arkad'ev and A. K. Pogrebkov and M. K. Polivanov},
title = {Singular solutions of the {KdV} equation and the inverse scattering method},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {17--37},
year = {1984},
volume = {133},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a1/}
}
TY - JOUR
AU - V. A. Arkad'ev
AU - A. K. Pogrebkov
AU - M. K. Polivanov
TI - Singular solutions of the KdV equation and the inverse scattering method
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 17
EP - 37
VL - 133
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a1/
LA - ru
ID - ZNSL_1984_133_a1
ER -
%0 Journal Article
%A V. A. Arkad'ev
%A A. K. Pogrebkov
%A M. K. Polivanov
%T Singular solutions of the KdV equation and the inverse scattering method
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 17-37
%V 133
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a1/
%G ru
%F ZNSL_1984_133_a1
The paper is devoted to the construction of singular solutions for the KdV equation. The presentation is based on a variant of the inverse scattering method for singular solutions of nonlinear equations, developed in the previous papers of the authors.
