A NEW CLASS OF INDUCED LOCALIZED COHERENT STRUCTURES IN THE (2-DIMENSIONAL NONLINEAR SCHRODINGER-EQUATION(1))

Authors
RADHA R LAKSHMANAN M
Citation
R. Radha et M. Lakshmanan, A NEW CLASS OF INDUCED LOCALIZED COHERENT STRUCTURES IN THE (2-DIMENSIONAL NONLINEAR SCHRODINGER-EQUATION(1)), Journal of physics. A, mathematical and general, 30(9), 1997, pp. 3229-3233
Citations number
12
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
9
Year of publication
1997
Pages
3229 - 3233
Database
ISI
SICI code
0305-4470(1997)30:9<3229:ANCOIL>2.0.ZU;2-J
Abstract
In this paper, we report a novel way of constructing a new class of lo calized coherent structures for the (2 + 1)-dimensional nonlinear Schr odinger (NLS) equation proposed by Zakharov by utilizing the freedom ( arbitrary function) in the linearized version of the bilinear equation . The localized solutions for the potential are realized mainly by the interaction of the line soliton with a curved soliton. We call such s olutions 'induced localized structures (induced dromions)' as the line soliton is induced by the arbitrary function present in the system.