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- Title
Formalism of semiclassical asymptotics for a two-component Hartree-type equation.
- Authors
Smirnova, E. I.; Trifonov, A. Yu.; Shapovalov, A. V.
- Abstract
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.
- Subjects
ASYMPTOTES; EQUATIONS; ALGEBRA; MATRICES (Mathematics); MATHEMATICS
- Publication
Russian Physics Journal, 2009, Vol 52, Issue 10, p1068
- ISSN
1064-8887
- Publication type
Article
- DOI
10.1007/s11182-010-9340-2