On the asymptotic expansion of the solutions of the separated nonlinear Schrodinger equation

Authors
Kapaev, AA Korepin, VE
Citation
Aa. Kapaev et Ve. Korepin, On the asymptotic expansion of the solutions of the separated nonlinear Schrodinger equation, PHYS LETT A, 285(3-4), 2001, pp. 150-156
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
285
Issue
3-4
Year of publication
2001
Pages
150 - 156
Database
ISI
SICI code
0375-9601(20010702)285:3-4<150:OTAEOT>2.0.ZU;2-0
Abstract
Nonlinear Schrodinger equation with the Schwarzian initial data is importan t in nonlinear optic a. Bose condensation and in the theory of strongly cor related electrons. The asymptotic solutions in the region x/t = O(1). t --> infinity, can be represented as a double series in t(-1) and ln t. Our cur rent purpose is the description of the a asymptotics of the coefficients of the series. (C) 2001 Elsevier Science B.V. All rights reserved.