Bäcklund transformations and Painlevé analysis: Exact soliton solutions for the unstable nonlinear Schrödinger equation modeling electron beam plasma

1998 ◽  
Vol 5 (2) ◽  
pp. 395-400 ◽  
Author(s):  
A. H. Khater ◽  
D. K. Callebaut ◽  
R. S. Ibrahim
Keyword(s):  
Electron Beam ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Equation Modeling ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Beam Plasma ◽  
Backlund Transformations ◽  
Exact Soliton Solutions ◽  
Electron Beam Plasma

INTEGRABLE ASPECTS OF NONCOMMUTATIVE ANTI-SELF-DUAL YANG-MILLS EQUATIONS

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2237-2238 ◽  
Author(s):  
MASASHI HAMANAKA
Keyword(s):  
Integrable Systems ◽  
Soliton Solutions ◽  
Bäcklund Transformations ◽  
Soliton Theory ◽  
Yang Mills ◽  
Backlund Transformations ◽  
Exact Soliton Solutions

We discuss extension of soliton theory and integrable systems to non-commutative (NC) spaces, focusing on integrable aspects of NC Anti-Self-Dual Yang-Mills (ASDYM) equations. We give exact soliton solutions (with both finite- and infinite-action solutions) by means of Bäcklund transformations. In the construction of NC soliton solutions, one kind of NC determinants, quasideterminants, play crucial roles. This is partially based on collaboration with C. R. Gilson and J. J. C. Nimmo (Glasgow).

scholarly journals Electron beam—plasma interaction in a dusty plasma with excess suprathermal electrons

2011 ◽  
Author(s):  
A. Danehkar ◽  
N. S. Saini ◽  
M. A. Hellberg ◽  
I. Kourakis ◽  
Vladimir Yu. Nosenko ◽  
...  
Keyword(s):  
Electron Beam ◽  
Dusty Plasma ◽  
Plasma Interaction ◽  
Suprathermal Electrons ◽  
Beam Plasma ◽  
Electron Beam Plasma
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