Publication
Title
Backlund transformations and Painleve analysis : exact soliton solutions for the unstable nonlinear Schrodinger equation modeling electron beam plasma
Author
Abstract
In this paper the Backlund transformations technique and Painleve analysis are used to generate classes of exact soliton solutions for some nonlinear evolution equations. For the (1+1)-dimensional problem, the unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the unstable nonlinear Schrodinger (UNLS) equation. Using the Darboux-Bargmann technique, we obtain the Backlund transformations for UNLS equation solvable by the inverse scattering method of Zakharov-Shabat/Ablowitz-Kaup-Newell-Segur (ZS/AKNS) and the ZS/AKNS wave functions corresponding to the soliton solutions of this equation. (C) 1998 American Institute of Physics.
Language
English
Source (journal)
Physics of plasmas. - Woodbury, N.Y.
Publication
Woodbury, N.Y. : 1998
ISSN
1070-664X
Volume/pages
5:2(1998), p. 395-400
ISI
000071834300009
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 01.03.2012
Last edited 21.08.2017
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