Finite amplitude envelope solitons in a pair-ion plasma

2007 ◽  
Vol 14 (3) ◽  
pp. 032107 ◽  
Author(s):  
W. M. Moslem ◽  
I. Kourakis ◽  
P. K. Shukla
Keyword(s):  
Finite Amplitude ◽  
Amplitude Envelope ◽  
Envelope Solitons ◽  
Ion Plasma

Stability of two-dimensional finite-amplitude envelope solitons

1987 ◽  
Vol 35 (10) ◽  
pp. 4273-4279 ◽  
Author(s):  
R. Blaha ◽  
E. W. Laedke ◽  
K. H. Spatschek
Keyword(s):  
Finite Amplitude ◽  
Two Dimensional ◽  
Amplitude Envelope ◽  
Envelope Solitons

Finite amplitude envelope solitons

1977 ◽  
Vol 20 (8) ◽  
pp. 1286 ◽  
Author(s):  
H. Schamel ◽  
M. Y. Yu ◽  
P. K. Shukla
Keyword(s):  
Finite Amplitude ◽  
Amplitude Envelope ◽  
Envelope Solitons

Quantum and Relativistic Effects on the KdV and Envelope Solitons in Ion-Plasma Waves

2021 ◽  
pp. 1-14
Author(s):  
Himangshu Sahoo ◽  
Chinmay Das ◽  
Swarniv Chandra ◽  
Basudev Ghosh ◽  
Kalyan Kumar Mondal
Keyword(s):  
Relativistic Effects ◽  
Plasma Waves ◽  
Envelope Solitons ◽  
Ion Plasma

Capillary–gravity waves of solitary type and envelope solitons on deep water

1993 ◽  
Vol 252 ◽  
pp. 703-711 ◽  
Author(s):  
Michael S. Longuet-Higgins
Keyword(s):  
Surface Tension ◽  
Dispersion Relation ◽  
Gravity Waves ◽  
Deep Water ◽  
Small Amplitude ◽  
Finite Amplitude ◽  
Surface Slope ◽  
Carrier Wave ◽  
Envelope Solitons ◽  
Special Case

The existence of steady solitary waves on deep water was suggested on physical grounds by Longuet-Higgins (1988) and later confirmed by numerical computation (Longuet-Higgins 1989; Vanden-Broeck & Dias 1992). Their numerical methods are accurate only for waves of finite amplitude. In this paper we show that solitary capillary-gravity waves of small amplitude are in fact a special case of envelope solitons, namely those having a carrier wave of length 2π(T/ρg)1½2 (g = gravity, T = surface tension, ρ = density). The dispersion relation $c^2 = 2(1-\frac{11}{32}\alpha^2_{\max)$ between the speed c and the maximum surface slope αmax is derived from the nonlinear Schrödinger equation for deep-water solitons (Djordjevik & Redekopp 1977) and is found to provide a good asymptote for the numerical calculations.

Oblique modulation of ion-acoustic waves and envelope solitons in electron-positron-ion plasma

2009 ◽  
Vol 16 (6) ◽  
pp. 062305 ◽  
Author(s):  
Nusrat Jehan ◽  
M. Salahuddin ◽  
Arshad M. Mirza
Keyword(s):  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Envelope Solitons ◽  
Ion Plasma ◽  
Electron Positron ◽  
Ion Acoustic

Electromagnetic envelope solitons in ultrarelativistic inhomogeneous electron-positron-ion plasma

2014 ◽  
Vol 21 (8) ◽  
pp. 082105
Author(s):  
Hong-E Du ◽  
Li-Hong Cheng ◽  
Zi-Fa Yu ◽  
Ju-Kui Xue
Keyword(s):  
Envelope Solitons ◽  
Ion Plasma ◽  
Electron Positron

scholarly journals Evolution of nonlinearly coupled drift wave-zonal flow system in a nonuniform magnetoplasma

2010 ◽  
Vol 76 (5) ◽  
pp. 665-671 ◽  
Author(s):  
D. JOVANOVIC ◽  
P. K. SHUKLA ◽  
B. ELIASSON
Keyword(s):  
Numerical Solutions ◽  
Modulational Instability ◽  
Zonal Flow ◽  
Finite Amplitude ◽  
Zonal Flows ◽  
Localized Solutions ◽  
Drift Wave ◽  
Envelope Solitons ◽  
Cubic Nonlinear Schrödinger Equation ◽  
Special Case

AbstractThe amplitude modulation of a finite amplitude drift wave by zonal flows in a non-uniform magnetoplasma is considered. The evolution of a nonlinearly coupled drift wave-zonal flow (DW-ZF) system is governed by a nonlinear equation for the slowly varying envelope of the drift waves, which drives (via the Reynolds stress of the drift wave envelope) the second equation for zonal flows. The nonlinear dispersion relation for the modulational instability of a drift wave pump is derived and analyzed. In a special case, the DW-ZF system of equations reduces to the cubic nonlinear Schrödinger equation, which admits localized solutions in the form of DW envelope solitons, accompanied by a shock-like ZF structure. Numerical solutions of the nonlinearly coupled DW-ZF systems reveal that an arbitrary spatial distribution of the DW rapidly decays into an array of localized drift wave structures, propagating with different speeds, that are robust and, in many respect, behave as solitons. The corresponding ZF evolves into the sequence of shocks that produces a strong shearing, i.e. multiple plasma flows in alternating directions.

Finite amplitude envelope surface solitons

2008 ◽  
Vol 15 (4) ◽  
pp. 042301 ◽  
Author(s):  
W. M. Moslem ◽  
M. Lazar ◽  
P. K. Shukla
Keyword(s):  
Finite Amplitude ◽  
Amplitude Envelope ◽  
Envelope Surface
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