LOCALIZED COHERENT STRUCTURES AND INTEGRABILITY IN A GENERALIZED (2-DIMENSIONAL NONLINEAR SCHRODINGER-EQUATION(1))

Authors
RADHA R LAKSHMANAN M
Citation
R. Radha et M. Lakshmanan, LOCALIZED COHERENT STRUCTURES AND INTEGRABILITY IN A GENERALIZED (2-DIMENSIONAL NONLINEAR SCHRODINGER-EQUATION(1)), Chaos, solitons and fractals, 8(1), 1997, pp. 17-25
Citations number
22
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,Physics,"Physycs, Mathematical
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
8
Issue
1
Year of publication
1997
Pages
17 - 25
Database
ISI
SICI code
0960-0779(1997)8:1<17:LCSAII>2.0.ZU;2-5
Abstract
A generalized (2 + 1)-dimensional nonlinear Schrodinger equation intro duced recently by Fokas is investigated and is shown to admit the Pain leve property. The Hirota bilinearization directly follows from the si ngularity analysis. Localized dromion solutions, which arise essential ly due to the interaction of two nonparallel ghost solitons and locali zed breather solutions (time oscillating solutions), are constructed u sing the Hirota method. This method can be rigorously pursued to gener ate multidromions and multibreathers. Copyright (C) 1997 Elsevier Scie nce Ltd.