Formalism of semiclassical asymptotics for a two-component Hartree-type equation

E. I. Smirnova, A. Yu Trifonov, Aleksandr Vasilievich Shapovalov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)1068-1076
Number of pages9
JournalRussian Physics Journal
Issue number10
Publication statusPublished - 1 Oct 2009


  • Hartree-type equation
  • Semiclassical approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Formalism of semiclassical asymptotics for a two-component Hartree-type equation'. Together they form a unique fingerprint.

Cite this