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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 16 > No. 3

 
   

Statistical approach to dynamics of modulation instabilities in optic fibers. Classical case

PP: 435-440
doi:10.18576/amis/160305
Author(s)
Mukhayo Yu. Rasulova,
Abstract
In the present paper, we prove equality of the wave equation for Modulation Instability and Vlasov kinetic equation. On the basis of Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy of classical kinetic equations, the kinetic equations for any number of Modulation Instabilities are defined and the method a solution for these equations is proposed.

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