Nonlinear evolution of the modulational instability and chaos using one-dimensional Zakharov equations and a simplified model

2005 ◽  
Vol 12 (2) ◽  
pp. 022311 ◽  
Author(s):  
R. P. Sharma ◽  
K. Batra ◽  
A. D. Verga
Keyword(s):  
Nonlinear Evolution ◽  
Modulational Instability ◽  
Simplified Model ◽  
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.

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

scholarly journals Channelization of plumes beneath ice shelves

2015 ◽  
Vol 785 ◽  
pp. 109-134 ◽  
Author(s):  
M. C. Dallaston ◽  
I. J. Hewitt ◽  
A. J. Wells
Keyword(s):  
Turbulent Mixing ◽  
Simplified Model ◽  
Ice Thickness ◽  
Ice Shelf ◽  
Ice Flow ◽  
Ice Shelves ◽  
Narrow Channels ◽  
One Dimensional ◽  
Grounding Line ◽  
The One

We study a simplified model of ice–ocean interaction beneath a floating ice shelf, and investigate the possibility for channels to form in the ice shelf base due to spatial variations in conditions at the grounding line. The model combines an extensional thin-film description of viscous ice flow in the shelf, with melting at its base driven by a turbulent ocean plume. Small transverse perturbations to the one-dimensional steady state are considered, driven either by ice thickness or subglacial discharge variations across the grounding line. Either forcing leads to the growth of channels downstream, with melting driven by locally enhanced ocean velocities, and thus heat transfer. Narrow channels are smoothed out due to turbulent mixing in the ocean plume, leading to a preferred wavelength for channel growth. In the absence of perturbations at the grounding line, linear stability analysis suggests that the one-dimensional state is stable to initial perturbations, chiefly due to the background ice advection.

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