TY - JOUR
T1 - Formalism of semiclassical asymptotics for a two-component Hartree-type equation
AU - Smirnova, E. I.
AU - Trifonov, A. Yu
AU - Shapovalov, Aleksandr Vasilievich
PY - 2009/10/1
Y1 - 2009/10/1
N2 - A formalism of semiclassical asymptotics has been developed for a two-component Hartree-type evolutionary equation with a small asymptotic parameter multiplying the partial derivatives, a nonlocal cubic nonlinearity, and a Hermite matrix operator. Semiclassical solutions are constructed in the class of two-component functions concentrated in the neighborhood of a point moving along the phase trajectory of a dynamic Hamilton-Ehrenfest system.
AB - A formalism of semiclassical asymptotics has been developed for a two-component Hartree-type evolutionary equation with a small asymptotic parameter multiplying the partial derivatives, a nonlocal cubic nonlinearity, and a Hermite matrix operator. Semiclassical solutions are constructed in the class of two-component functions concentrated in the neighborhood of a point moving along the phase trajectory of a dynamic Hamilton-Ehrenfest system.
KW - Hartree-type equation
KW - Semiclassical approximation
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U2 - 10.1007/s11182-010-9340-2
DO - 10.1007/s11182-010-9340-2
M3 - Article
AN - SCOPUS:77950461135
VL - 52
SP - 1068
EP - 1076
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 10
ER -