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
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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.
@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},
publisher = {mathdoc},
volume = {133},
year = {1984},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a1/ %G ru %F ZNSL_1984_133_a1
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/