Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 36-40
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S. A. Vakulenko. Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 36-40. http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a2/
@article{ZNSL_1984_140_a2,
author = {S. A. Vakulenko},
title = {Construction of asymptotic solutions for weakly nonlinear {Hamiltonian} systems},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {36--40},
year = {1984},
volume = {140},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a2/}
}
TY - JOUR
AU - S. A. Vakulenko
TI - Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 36
EP - 40
VL - 140
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a2/
LA - ru
ID - ZNSL_1984_140_a2
ER -
%0 Journal Article
%A S. A. Vakulenko
%T Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 36-40
%V 140
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a2/
%G ru
%F ZNSL_1984_140_a2
A change of variables is constructed for a class of weakly nonlinear Hamiltonian systems which makes it possible to reduce the order of the nonlinearity from $O(\varepsilon)$ to $O(\varepsilon^2)$ and to construct asymptotic solutions. The results can be applied to some nonlinear partial differential equations of interest in physics.
