Exact form of the Bogolyubov excitations in the one-dimensional nonlinear Schrodinger equation

Authors
Kovrizhin, DL
Citation
Dl. Kovrizhin, Exact form of the Bogolyubov excitations in the one-dimensional nonlinear Schrodinger equation, PHYS LETT A, 287(3-4), 2001, pp. 273-277
Citations number
6
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
287
Issue
3-4
Year of publication
2001
Pages
273 - 277
Database
ISI
SICI code
0375-9601(20010827)287:3-4<273:EFOTBE>2.0.ZU;2-R
Abstract
In this Letter we present exact solutions of the one-dimensional nonlinear Schrodinger equation. The solutions corresponds the Bogolyubov excitations in the Bose gas with local interaction. Using the solutions, the transition coefficient of the excitations scattering on a delta -functional potential barrier is found. (C) 2001 Published by Elsevier Science B.V.