Soliton solutions and chaotic motion of the extended Zakharov-Kuznetsov equations in a magnetized two-ion-temperature dusty plasma

2014 ◽  
Vol 21 (7) ◽  
pp. 073709 ◽  
Author(s):  
Hui-Ling Zhen ◽  
Bo Tian ◽  
Yu-Feng Wang ◽  
Wen-Rong Sun ◽  
Li-Cai Liu
Keyword(s):  
Dusty Plasma ◽  
Chaotic Motion ◽  
Soliton Solutions ◽  
Ion Temperature

Non-planar dust-acoustic Gardner solitons with two-ion-temperature in a dusty plasma

2011 ◽  
Vol 78 (2) ◽  
pp. 125-131 ◽  
Author(s):  
M. ASADUZZAMAN ◽  
A. A. MAMUN
Keyword(s):  
Dusty Plasma ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Number Density ◽  
Propagation Characteristics ◽  
Ion Temperature ◽  
Dust Acoustic ◽  
Higher Temperature ◽  
Basic Features ◽  
Gardner Solitons

AbstractThe nonlinear propagation characteristics of Gardner solitons (GSs) in a non-planar (cylindrical and spherical) two-ion-temperature unmagnetized dusty plasma, whose constituents are inertial negative dust, Boltzmann electrons and ions with two distinctive temperatures, are investigated by deriving the modified Gardner (mG) equation. The standard reductive perturbation method is employed to derive the mG equation. The basic features of non-planar dust-acoustic (DA) GSs are analyzed. It has been found that the basic characteristics of GSs, which are shown to exist for the values of ni10/Zdnd0 around 0.311, for ni20/Zdnd0 = 0.5, Ti1/Te = 0.07, and Ti1/Ti2 = 0.05 [where ni10 (ni20) is the lower (higher) temperature ion number density at equilibrium, Ti1 (Ti2) is the lower (higher) temperature of ions, Te is the electron temperature, Zd is the number of electrons residing on the dust grain surface, and nd0 is the equilibrium dust number density] are different from those of Korteweg-de Vries solitons, which do not exist around ni10/Zdnd0 ≃ 0.311. It has been found that the propagation characteristics of non-planar DA GSs significantly differ from those of planar ones.

Overtaking Collision and Phase Shifts of Dust Acoustic Multi-Solitons in a Four Component Dusty Plasma with Nonthermal Electrons

2015 ◽  
Vol 70 (9) ◽  
pp. 703-711 ◽  
Author(s):  
Gurudas Mandal ◽  
Kaushik Roy ◽  
Anindita Paul ◽  
Asit Saha ◽  
Prasanta Chatterjee
Keyword(s):  
Dusty Plasma ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Soliton Solutions ◽  
Phase Shifts ◽  
Nonlinear Propagation ◽  
Bilinear Method ◽  
Nonthermal Electrons ◽  
Dust Acoustic ◽  
Overtaking Collision

AbstractThe nonlinear propagation and interaction of dust acoustic multi-solitons in a four component dusty plasma consisting of negatively and positively charged cold dust fluids, non-thermal electrons, and ions were investigated. By employing reductive perturbation technique (RPT), we obtained Korteweged–de Vries (KdV) equation for our system. With the help of Hirota’s bilinear method, we derived two-soliton and three-soliton solutions of the KdV equation. Phase shifts of two solitons and three solitons after collision are discussed. It was observed that the parameters α, β, β1, μe, μi, and σ play a significant role in the formation of two-soliton and three-soliton solutions. The effect of the parameter β1 on the profiles of two soliton and three soliton is shown in detail.

Effect of Polynomial Expressed Distribution Dust Particles for Unmagnetized Two-Ion-Temperature Dusty Plasma

2009 ◽  
Vol 52 (2) ◽  
pp. 346-350
Author(s):  
He Guang-Jun ◽  
Li Xiao-Li ◽  
Lin Mai-Mai ◽  
Shi Yu-Ren ◽  
Duan Wen-Shan
Keyword(s):  
Dusty Plasma ◽  
Dust Particles ◽  
Ion Temperature

scholarly journals The nonlinear dustgrain-charging on large amplitude electrostatic waves in a dusty plasma with trapped ions

1998 ◽  
Vol 5 (1) ◽  
pp. 53-62 ◽  
Author(s):  
Y.-N. Nejoh
Keyword(s):  
Dusty Plasma ◽  
Density Ratio ◽  
Dusty Plasmas ◽  
Trapped Ions ◽  
Charge Ratio ◽  
Ion Temperature ◽  
Ion Density ◽  
Electrostatic Waves ◽  
New Findings ◽  
Ion Waves

Abstract. The nonlinear dustgrain-charging and the influence of the ion density and temperature on electrostatic waves in a dusty plasma having trapped ions are investigated by numerical calculation. This work is the first approach to the effect of trapped ions in dusty plasmas. The nonlinear variation of the dust-charge is examined, and it is shown that the characteristics of the dustcharge number sensitively depend on the plasma potential, Mach number, dust mass-to-charge ratio, trapped ion density and temperature. The fast and slow wave modes are shown in this system. An increase of the ion temperature decreases the dust-charging rate and the propagation speed of ion waves. It is found that the existence of electrostatic ion waves sensitively depends on the ion to electron density ratio. New findings of the variable-charge dust grain particles, ion density and temperature in a dusty plasma with trapped ions are predicted.

SOLITON INTERACTION OF THE ZAKHAROV–KUZNETSOV EQUATIONS IN PLASMA DYNAMICS

2013 ◽  
Vol 27 (09) ◽  
pp. 1350029 ◽  
Author(s):  
HUI-LING ZHEN ◽  
BO TIAN ◽  
PAN WANG ◽  
RONG-XIANG LIU ◽  
HUI ZHONG
Keyword(s):  
Acoustic Waves ◽  
Variable Coefficient ◽  
Soliton Solutions ◽  
Dusty Plasmas ◽  
Graphical Analysis ◽  
Soliton Interaction ◽  
Ion Temperature ◽  
Plasma Dynamics ◽  
Zk Equation ◽  
The One

In this paper we investigate the constant- and variable-coefficient Zakharov–Kuznetsov (ZK) equations respectively for the electrostatic solitons and two-dimensional ion-acoustic waves obliquely propagating in the inhomogeneous magnetized two-ion-temperature dusty plasmas. By virtue of the symbolic computation and Hirota method, new bilinear forms and N-soliton solutions are both derived. Asymptotic analysis on two-soliton solutions indicates that the soliton interaction is elastic. Propagation characteristics and interaction behavior of the solitons are discussed via graphical analysis. Effects of the dispersive and disturbed coefficients are analyzed. For the constant-coefficient ZK equation, amplitude of the one soliton becomes larger when the absolute value of dispersive coefficient B increases, while interaction between the two solitons varies with the product of B and disturbed coefficient C: when BC>0, two solitons are always parallel, or they interact with each other that way. For the variable-coefficient ZK equation, periodical soliton arises when the disturbed coefficient γ(t) is a periodical function, and periods of the solitons are inversely correlated to the period of γ(t).

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