Dynamics of vortex structure formation during the evolution of modulation instability of dark solitons

2011 ◽  
Author(s):  
Alexander I. Smirnov ◽  
LevA. Smirnov ◽  
VyacheslavA. Mironov
Keyword(s):  
Structure Formation ◽  
Vortex Structure ◽  
Modulation Instability ◽  
Dark Solitons

Numerical simulation of large-scale vortex-structure formation in shear flow of the atmosphere

2009 ◽  
Vol 54 (11) ◽  
pp. 494-498
Author(s):  
O. M. Belotserkovskiĭ ◽  
A. V. Konyukhov ◽  
A. M. Oparin ◽  
V. M. Chechetkin
Keyword(s):  
Numerical Simulation ◽  
Shear Flow ◽  
Structure Formation ◽  
Vortex Structure ◽  
Large Scale ◽  
Large Scale Vortex ◽  
Large Scale Vortex Structure

Soliton interactions and modulation instability for the N-coupled complex short pulse equations in an optical fiber

2018 ◽  
Vol 32 (22) ◽  
pp. 1850252
Author(s):  
Yu-Feng Wang ◽  
Bo-Ling Guo
Keyword(s):  
Bound States ◽  
Mixed Type ◽  
Modulation Instability ◽  
Short Pulse ◽  
Soliton Solutions ◽  
Ultrashort Pulses ◽  
Soliton Interactions ◽  
Dark Solitons ◽  
Wave Solutions ◽  
Nonlinear Fiber

Under investigation in this paper are the N-coupled complex short pulse (N-CSP) equations, which describe the propagation of simultaneous N ultrashort pulses in a nonlinear fiber medium. Through the Hirota method, the m-bright-n-dark [Formula: see text] soliton solutions are obtained. Elastic and inelastic interactions between the mixed-type solitons are derived through the asymptotic analysis. As an example, the oblique interactions and the bound states of the 2-bright-1-dark and 1-bright-2-dark solitons for 3-CSP equations are analyzed graphically. Finally, the condition of the modulation instability of the plane-wave solutions for 2-CSP equations is given through the linear stability analysis.

Large-scale electron vortex structure formation in a plasma lens

2006 ◽  
Vol 32 (1) ◽  
pp. 51-54 ◽  
Author(s):  
Yu. N. Chekh ◽  
A. A. Goncharov ◽  
I. M. Protsenko
Keyword(s):  
Structure Formation ◽  
Vortex Structure ◽  
Large Scale
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