Variational approach to nonlinear evolution of modulational instability using one-dimensional Zakharov equations

2005 ◽  
Vol 12 (9) ◽  
pp. 092303 ◽  
Author(s):  
R. P. Sharma ◽  
K. Batra ◽  
S. S. Das
Keyword(s):  
Variational Approach ◽  
Nonlinear Evolution ◽  
Modulational Instability ◽  
One Dimensional

Nonlinear evolution of a wave packet propagating along a hot magnetoplasma column

1987 ◽  
Vol 37 (1) ◽  
pp. 107-115
Author(s):  
B. Ghosh ◽  
K. P. Das
Keyword(s):  
Magnetic Field ◽  
Multiple Scales ◽  
Nonlinear Evolution ◽  
Axial Magnetic Field ◽  
Modulational Instability ◽  
Wave Train ◽  
Dielectric Medium ◽  
Ion Effects ◽  
The Magnetic Field ◽  
Uniform Plasma

The method of multiple scales is used to derive a nonlinear Schrödinger equation, which describes the nonlinear evolution of electron plasma ‘slow waves’ propagating along a hot cylindrical plasma column, surrounded by a dielectric medium and immersed in an essentially infinite axial magnetic field. The temperature is included as well as mobile ion effects for ail possible modes of propagation along the magnetic field. From this equation the condition for modulational instability for a uniform plasma wave train is determined.

scholarly journals Variational approach to the modulational instability

2004 ◽  
Vol 69 (1) ◽  
Author(s):  
Z. Rapti ◽  
P. G. Kevrekidis ◽  
A. Smerzi ◽  
A. R. Bishop
Keyword(s):  
Variational Approach ◽  
Modulational Instability

Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
Milutin Stepić ◽  
Aleksandra Maluckov ◽  
Marija Stojanović ◽  
Feng Chen ◽  
Detlef Kip
Keyword(s):  
Solitary Waves ◽  
Modulational Instability ◽  
One Dimensional

Spatial modulational instability in one-dimensional lithium niobate slab waveguides

2000 ◽  
Vol 25 (24) ◽  
pp. 1786 ◽  
Author(s):  
H. Fang ◽  
R. Malendevich ◽  
R. Schiek ◽  
G. I. Stegeman
Keyword(s):  
Lithium Niobate ◽  
Modulational Instability ◽  
One Dimensional ◽  
Slab Waveguides

One-Dimensional Modulational Instability in a Crossed-Field Gap

1996 ◽  
Vol 76 (18) ◽  
pp. 3324-3327 ◽  
Author(s):  
Peggy J. Christenson ◽  
Y. Y. Lau
Keyword(s):  
Modulational Instability ◽  
One Dimensional
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