Nonlinear magnetoacoustic waves in a weakly inhomogeneous plasma

1980 ◽  
Vol 58 (1) ◽  
pp. 110-115
Author(s):  
D. Govinda Thirtha ◽  
M. L. Mittal
Keyword(s):  
Magnetic Field ◽  
Solitary Wave ◽  
Wave Amplitude ◽  
Vries Equation ◽  
Inhomogeneous Plasma ◽  
State Density ◽  
Reductive Perturbation Method ◽  
The Other ◽  
Magnetoacoustic Waves ◽  
Reductive Perturbation

Nonlinear magnetoacoustic waves in a weakly inhomogeneous plasma are analysed by reductive perturbation method. One-dimensionai spatial variations are considered in the equilibrium state (density, temperature, and magnetic field) of the system. The governing equation turns out to be a modified Korteweg – de Vries equation which includes damping effects. It is found that the combined effect of the temperature and magnetic field inhomogeneities on the solitary wave amplitude is such that each inhomogeneity counterinfluences the other.

Nonlinear magnetoacoustic waves in pair-ion plasma with dust impurity

2013 ◽  
Vol 79 (5) ◽  
pp. 825-831 ◽  
Author(s):  
SHI-SEN RUAN ◽  
JIANG-HONG MAN ◽  
SHAN WU ◽  
ZE CHENG
Keyword(s):  
Magnetic Field Intensity ◽  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Dust Particles ◽  
Number Density ◽  
Nonlinear Properties ◽  
Variation Of Parameters ◽  
Ion Plasma ◽  
Magnetoacoustic Waves ◽  
Reductive Perturbation

AbstractNonlinear properties of magnetoacoustic waves are investigated in magnetized pair-ion plasmas with dust impurity. Three-fluid collisionless magneto-hydrodynamic model is considered and reductive perturbation method is employed to derive Korteweg-de Vries equation for magnetoacoustic solitary waves (MASWs). The effects of the charge number of dust particles, magnetic field intensity, and plasma number density are studied on MASWs. It is found that the variation of parameters causes significant changes in solitary structures. The present investigation may be useful to understand formation and propagation of MASW structures in dust pair-ion plasmas.

Localized coherent nonlinear wave structures in dusty plasma with non-thermal ions

2007 ◽  
Vol 73 (6) ◽  
pp. 921-932 ◽  
Author(s):  
TARSEM SINGH GILL ◽  
CHANCHAL BEDI ◽  
NARESHPAL SINGH SAINI ◽  
HARVINDER KAUR
Keyword(s):  
Perturbation Method ◽  
Solitary Waves ◽  
Vries Equation ◽  
Thermal Parameter ◽  
Reductive Perturbation Method ◽  
Double Layers ◽  
Dust Charge ◽  
Dust Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Dust Acoustic

AbstractIn the present research paper, the characteristics of dust-acoustic solitary waves (DASWs) and double layers (DLs) are studied. Ions are treated as non-thermal and variable dust charge is considered. The Korteweg–de Vries equation is derived using a reductive perturbation method. It is noticed that compressive solitons are obtained up to a certain range of relative density δ (=ni0/ne0) beyond which rarefactive solitons are observed. The study is further extended to investigate the possibility of DLs. Only compressive DLs are permissible. Both DASWs and DLs are sensitive to variation of the non-thermal parameter.

Far-Field Potential of a Test Charge in an Inhomogeneous and Magnetized Plasma

1974 ◽  
Vol 52 (3) ◽  
pp. 281-283 ◽  
Author(s):  
P. K. Shukla ◽  
K. H. Spatschek ◽  
M. Y. Yu
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Inhomogeneous Plasma ◽  
Field Potential ◽  
Magnetized Plasma ◽  
The Other ◽  
Far Field ◽  
Homogeneous Plasma ◽  
Test Charge ◽  
Stationary Test

It is shown that a stationary test charge in a magnetized inhomogeneous plasma has a far-field potential which falls off as the inverse cube of the distance between the test charge and an observer who is located in a direction perpendicular to both the density gradient and the external magnetic field. On the other hand, the effect of an external magnetic field parallel to the velocity of a slowly moving test charge in a homogeneous plasma is shown to be insignificant.

scholarly journals Propagation of Nonlinear Pressure Waves in Blood

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
A. Elgarayhi ◽  
E. K. El-Shewy ◽  
Abeer A. Mahmoud ◽  
Ali A. Elhakem
Keyword(s):  
Vries Equation ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Elastic Tube ◽  
Pressure Waves ◽  
Weakly Nonlinear ◽  
Flow Problems ◽  
Inner Radius ◽  
Reductive Perturbation ◽  
Conditions Of Stability

The propagation of weakly nonlinear pressure waves in a fluid-filled elastic tube has been investigated. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude. The effect of the final inner radius of the tube on the basic properties of the soliton wave was discussed. Moreover, the conditions of stability and the soliton existence via the potential and the corresponding phase portrait were computed. The applicability of the present investigation to flow problems in arteries is discussed.

Higher order nonlinear and dispersive effects on ion-acoustic solitary waves

1991 ◽  
Vol 69 (7) ◽  
pp. 822-827 ◽  
Author(s):  
K. P. Das ◽  
S. R. Majumdar
Keyword(s):  
Solitary Wave ◽  
Higher Order ◽  
Reductive Perturbation Method ◽  
Inhomogeneous Equation ◽  
Governing Equations ◽  
First Order ◽  
Ion Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Ion Acoustic ◽  
Higher Order Corrections

Starting from an integrated form of the system of governing equations in terms of pseudopotential, higher order nonlinear and dispersive effects are obtained for an ion-acoustic solitary wave. The advantage of the method developed here is that instead of solving a second-order inhomogeneous differential equation at each order in the reductive perturbation method, we are to solve a first-order inhomogeneous equation at each order. Expressions are obtained for both the Mach number and the width of the solitary wave as functions of amplitude, including higher order corrections.

Shock wave occurrence and soliton propagation in polariton condensates

2017 ◽  
Vol 95 (12) ◽  
pp. 1234-1238 ◽  
Author(s):  
A.M. Belounis ◽  
S. Kessal
Keyword(s):  
Shock Wave ◽  
Burgers Equation ◽  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Pitaevskii Equation ◽  
Soliton Propagation ◽  
Modified Burgers Equation ◽  
Reductive Perturbation ◽  
De Vries ◽  
Dispersionless Limit

We study the effects of the gain and the loss of polaritons on the wave propagation in polariton condensates. This system is described by a modified Gross–Pitaevskii equation. In the case of small damping, we use the reductive perturbation method to transform this equation; we get a modified Burgers equation in the dispersionless limit and a damped Korteweg – de Vries equation in a more general case. We demonstrate that the shock wave occurrence depends on the gain and the loss of polaritons in the dispersionless polariton condensate. The resolution of the damped Korteweg – de Vries equation shows that the soliton behaves like a damped wave in the case of a constant damping. Based on an asymptotic solution, the survival time and the distance traveled by this soliton are evaluated. We solve the damped Korteweg – de Vries equation and the modified Gross–Pitaevskii numerically to validate the analytical calculations and discuss especially the soliton propagation in the system.

Dust shear Alfvén solitary structures in an opposite polarity dust medium

2013 ◽  
Vol 79 (6) ◽  
pp. 1045-1048
Author(s):  
A. A. MAMUN
Keyword(s):  
Solitary Wave ◽  
Wave Solution ◽  
Solitary Wave Solution ◽  
Opposite Polarity ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Reductive Perturbation ◽  
Solitary Structures ◽  
Space Environments ◽  
Basic Features

AbstractThe basic features of dust shear Alfvén (DSA) solitary structures formed in an opposite polarity dust medium (containing positively and negatively charged dust fluids) have been investigated by using the reductive perturbation method. The derivative nonlinear Shrödinger equation and its stationary solitary wave solution are obtained for this investigation. It is shown that the opposite polarity dust medium under consideration supports the compressive DSA solitary structures having new features with new time and length scales. The implications of our results in space environments and laboratory devices are briefly discussed.

Effect of higher-order nonlinearity on propagation of nonlinear ion-acoustic waves in a collisionless plasma consisting of negative ions

1986 ◽  
Vol 35 (2) ◽  
pp. 219-237 ◽  
Author(s):  
S. G. Tagare ◽  
R. Virupakshi Reddy
Keyword(s):  
Perturbation Method ◽  
Vries Equation ◽  
Negative Ions ◽  
Higher Order ◽  
Reductive Perturbation Method ◽  
Coupled Equations ◽  
Basic Set ◽  
Reductive Perturbation ◽  
De Vries ◽  
Cold Ions

The combined effects of negative ions and higher-order nonlinearity on ionacoustic solitons are studied using the reductive perturbation method. The basic set of fluid equations for a plasma consisting of negative cold ions, positive cold ions and hot electrons (non-isothermal and isothermal) reduces to the modified Korteweg-de Vries equation and the Korteweg-de Vries equation for the first-order potential, and to the linear inhomogeneous equation for the second-order potential. Stationary solutions of the coupled equations are obtained in the case of negative ions, retaining terms up to the third order in the usual reductive perturbation method.

Solitary waves in a dusty adiabatic electronegative plasma

2010 ◽  
Vol 76 (3-4) ◽  
pp. 409-418 ◽  
Author(s):  
A. A. MAMUN ◽  
K. S. ASHRAFI ◽  
M. G. M. ANOWAR
Keyword(s):  
Solitary Waves ◽  
Vries Equation ◽  
Negative Ions ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Electronegative Plasma ◽  
Ion Acoustic ◽  
Basic Features ◽  
Electronegative Plasmas

AbstractThe dust ion-acoustic solitary waves (SWs) in an unmagnetized dusty adiabatic electronegative plasma containing inertialess adiabatic electrons, inertial single charged adiabatic positive and negative ions, and stationary arbitrarily (positively and negatively) charged dust have been theoretically studied. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits an SW solution. The combined effects of the adiabaticity of plasma particles, inertia of positive or negative ions, and presence of positively or negatively charged dust, which are found to significantly modify the basic features of small but finite-amplitude dust-ion-acoustic SWs, are explicitly examined. The implications of our results in space and laboratory dusty electronegative plasmas are briefly discussed.

scholarly journals Ground state and stability of the fractional plateau phase in metallic Shastry–Sutherland system TmB4

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Matúš Orendáč ◽  
Slavomír Gabáni ◽  
Pavol Farkašovský ◽  
Emil Gažo ◽  
Jozef Kačmarčík ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Ground State ◽  
Constant Magnetic Field ◽  
Paramagnetic Phase ◽  
The Other ◽  
Zero Field ◽  
Plateau Phase ◽  
Low Field ◽  
Zero Field Cooling

AbstractWe present a study of the ground state and stability of the fractional plateau phase (FPP) with M/Msat = 1/8 in the metallic Shastry–Sutherland system TmB4. Magnetization (M) measurements show that the FPP states are thermodynamically stable when the sample is cooled in constant magnetic field from the paramagnetic phase to the ordered one at 2 K. On the other hand, after zero-field cooling and subsequent magnetization these states appear to be of dynamic origin. In this case the FPP states are closely associated with the half plateau phase (HPP, M/Msat = ½), mediate the HPP to the low-field antiferromagnetic (AF) phase and depend on the thermodynamic history. Thus, in the same place of the phase diagram both, the stable and the metastable (dynamic) fractional plateau (FP) states, can be observed, depending on the way they are reached. In case of metastable FP states thermodynamic paths are identified that lead to very flat fractional plateaus in the FPP. Moreover, with a further decrease of magnetic field also the low-field AF phase becomes influenced and exhibits a plateau of the order of 1/1000 Msat.

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