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 highfrequency electric field is reduced to the unstable nonlinear Schrodinger (UNLS) equation. Using the DarbouxBargmann technique, we obtain the Backlund transformations for UNLS equation solvable by the inverse scattering method of ZakharovShabat/AblowitzKaupNewellSegur (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 



1070664X
 
Volume/pages 



5:2(1998), p. 395400
 
ISI 



000071834300009
 
Full text (Publishers DOI) 


  
