Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 15 (1980), pp. 3-94
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S. Yu. Dobrokhotov; V. P. Maslov. Finite-zone almost periodic solutions in WKB-approximations. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 15 (1980), pp. 3-94. http://geodesic.mathdoc.fr/item/INTD_1980_15_a0/
@article{INTD_1980_15_a0,
author = {S. Yu. Dobrokhotov and V. P. Maslov},
title = {Finite-zone almost periodic solutions in {WKB-approximations}},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--94},
year = {1980},
volume = {15},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1980_15_a0/}
}
TY - JOUR
AU - S. Yu. Dobrokhotov
AU - V. P. Maslov
TI - Finite-zone almost periodic solutions in WKB-approximations
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1980
SP - 3
EP - 94
VL - 15
UR - http://geodesic.mathdoc.fr/item/INTD_1980_15_a0/
LA - ru
ID - INTD_1980_15_a0
ER -
%0 Journal Article
%A S. Yu. Dobrokhotov
%A V. P. Maslov
%T Finite-zone almost periodic solutions in WKB-approximations
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1980
%P 3-94
%V 15
%U http://geodesic.mathdoc.fr/item/INTD_1980_15_a0/
%G ru
%F INTD_1980_15_a0
It is shown that the recently discovered finite-zone, almost-periodic solutions may, on the one hand, serve as the foundation for the development of the multiphase WKB method in nonlinear equations (the method of Whitham) and, on the other hand, serve to define Lagrangian manifolds with complex germs which can be (second) quantized in the quasiclassical approximation.
