Solitary and freak waves in superthermal plasma with ion jet

2012 ◽  
Vol 79 (3) ◽  
pp. 287-294 ◽  
Author(s):  
U. M. ABDELSALAM
Keyword(s):  
Solitary Wave Solution ◽  
Kdv Equation ◽  
Ion Beam ◽  
Negative Ions ◽  
Reductive Perturbation Method ◽  
Dust Particles ◽  
Superthermal Electrons ◽  
Plasma Parameters ◽  
Freak Waves ◽  
Superthermal Plasma

AbstractThe nonlinear solitary and freak waves in a plasma composed of positive and negative ions, superthermal electrons, ion beam, and stationary dust particles have been investigated. The reductive perturbation method is used to obtain the Korteweg-de Vries (KdV) equation describing the system. The latter admits solitary wave solution, while the dynamics of the modulationally unstable wavepackets described by the KdV equation gives rise to the formation of freak/rogue excitation described by the nonlinear Schrödinger equation. In order to show that the characteristics of solitary and freak waves are influenced by plasma parameters, relevant numerical analysis of appropriate nonlinear solutions are presented. The results from this work predict nonlinear excitations that may associate with ion jet and superthermal electrons in Herbig–Haro objects.

Magnetoacoustic Nonlinear Solitary and Freak Waves in Pair-Ion Plasma

2019 ◽  
Vol 74 (9) ◽  
pp. 777-786 ◽  
Author(s):  
Papihra Sethi ◽  
Kuldeep Singh ◽  
N.S. Saini
Keyword(s):  
Solitary Wave Solution ◽  
Reductive Perturbation Method ◽  
Number Density ◽  
Kp Equation ◽  
Temperature Ratio ◽  
Plasma Parameters ◽  
Freak Waves ◽  
Positive Ions ◽  
Ion Plasma ◽  
Magnetohydrodynamic Model

AbstractAn investigation of magnetoacoustic nonlinear solitary and freak waves in a magnetised collisionless pair-ion plasma using two-dimensional magnetohydrodynamic model is presented. The reductive perturbation method is used to obtain the Kadomtsev–Petviashvili (KP) equation. The solitary wave solution of KP equation is examined. Further, on modulating KP equation, the nonlinear Schrödinger equation is derived with the help of appropriate transformation. The influence of various plasma parameters such as magnetic field strength, number density of ions, and temperature ratio of negative to positive ions, etc. on the propagation characteristics of solitary waves and first- as well as second-order magnetoacoustic freak waves in pair-ion plasma is examined.

Dust ion-acoustic solitary waves in a magnetized dusty electronegative plasma

2010 ◽  
Vol 77 (1) ◽  
pp. 133-143 ◽  
Author(s):  
M. G. M. ANOWAR ◽  
K. S. ASHRAFI ◽  
A. A. MAMUN
Keyword(s):  
Solitary Waves ◽  
Solitary Wave Solution ◽  
Kdv Equation ◽  
Negative Ions ◽  
Dusty Plasmas ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Electronegative Plasma ◽  
Ion Acoustic ◽  
Basic Features

AbstractThe basic features of obliquely propagating dust ion-acoustic (DIA) solitary waves in an adiabatic magnetized dusty electronegative plasma (containing Boltzmann electrons, Boltzmann negative ions, adiabatic positive ions, and negatively charged stationary dust) have been investigated. The reductive perturbation method has been employed to derive the Korteweg–de Vries (KdV) equation which admits a solitary wave solution. The combined effects of ion adiabaticity and external magnetic field (obliqueness), which are found to significantly modify the basic features of the small but finite-amplitude DIA solitary waves, are explicitly examined. The implications of our results in space and laboratory dusty plasmas are briefly discussed.

Rogue wave triplets in an ion-beam dusty plasma with superthermal electrons and negative ions

2013 ◽  
Vol 377 (34-36) ◽  
pp. 2118-2125 ◽  
Author(s):  
Shimin Guo ◽  
Liquan Mei ◽  
Weijuan Shi
Keyword(s):  
Dusty Plasma ◽  
Rogue Wave ◽  
Ion Beam ◽  
Negative Ions ◽  
Superthermal Electrons

Solitary waves in magnetostrictive circular rods with temperature effect

2021 ◽  
Author(s):  
H. T. Jia ◽  
Chun-Xia Xue ◽  
Q. Chen
Keyword(s):  
Solitary Wave ◽  
Wave Velocity ◽  
Solitary Wave Solution ◽  
Kdv Equation ◽  
Constitutive Relations ◽  
Velocity Ratio ◽  
Expansion Method ◽  
Reductive Perturbation Method ◽  
Normal Strain ◽  
Nonlinear Superposition

A simple nonlinear model is constructed in this paper to study the solitary wave in an infinite circular magnetostrictive rod. Based on the constitutive relations for transversely isotropic magnetostrictive materials, considering the coupling of multiphysics, combined with Hamilton’s principle and Euler equation, the longitudinal wave equation (LWE) of the infinite circular rod is obtained. The nonlinearity considered is geometrically associated with the nonlinear normal strain in the longitudinal rod direction. The transverse Poisson’s effect is included by introducing the effective Poisson’s ratio. Solitary wave solution, non-topological bell-type soliton and singular periodic solutions of the LWE are obtained by the [Formula: see text]-expansion method. By using the reductive perturbation method, we derive the KdV equation, furthermore, the two-solitary solution is obtained. Numerical analysis results show that the increase of the magnetic field intensity or temperature will reduce the solitary wave’s propagation velocity. As the wave velocity ratio increases, the wave amplitude gradually increases; when the coupled physics parameter and the wave velocity ratio are constant, the increase of the dispersion parameter will make the wavelength longer. The dynamic behavior of the two-soliton solution in the magnetostrictive rod exhibits nonlinear superposition and has elastic collision characteristics.

Nonlinear excitations and dynamic features of dust ion-acoustic waves in a magnetized electron–positron–ion plasma

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Rabindranath Maity ◽  
Biswajit Sahu
Keyword(s):  
Numerical Simulation ◽  
Acoustic Waves ◽  
Kdv Equation ◽  
Phase Portraits ◽  
Dust Particles ◽  
Superthermal Electrons ◽  
Ion Acoustic Waves ◽  
Nonlinear Excitations ◽  
Ion Acoustic ◽  
Extended Kdv Equation

Abstract A wide class of nonlinear excitations and the dynamics of wave groups of finite amplitude ion-acoustic waves are investigated in multicomponent magnetized plasma system comprising warm ions, and superthermal electrons as well as positrons in presence of negatively charged impurities or dust particles. Employing the reductive perturbation technique (RPT), the Korteweg–de-Vries (KdV) equation, and extended KdV equation are derived. The presence of excess superthermal electrons as well as positrons and other plasma parameters are shown to influence the characteristics of both compressive and rarefactive solitons as well as double layers (DLs). Also, we extend our investigation by deriving the nonlinear Schrödinger equation from the extended KdV equation employing a suitable transformation to study the wave group dynamics for long waves. The analytical and numerical simulation results demonstrate that nonlinear wave predicts solitons, “table-top” solitons, DLs, bipolar structure, rogue waves, and breather structures. Moreover, implementing the concept of dynamical systems, phase portraits of nonlinear periodic, homoclinic trajectories, and supernonlinear periodic trajectories are presented through numerical simulation.

scholarly journals Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
S. A. El-Wakil ◽  
Essam M. Abulwafa ◽  
E. K. El-Shewy ◽  
H. G. Abdelwahed ◽  
Hamdi M. Abd-El-Hamid
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Algebraic Method ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Relativistic Plasma ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Weakly Relativistic Plasma

The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small- but finite-amplitude electrostatic ion-acoustic waves in weakly relativistic plasma consisting of warm ions and isothermal electrons. An algebraic method with computerized symbolic computation is applied in obtaining a series of exact solutions of the KdV equation. Numerical studies have been made using plasma parameters which reveal different solutions, that is, bell-shaped solitary pulses, rational pulses, and solutions with singularity at finite points, which called “blowup” solutions in addition to the propagation of an explosive pulses. The weakly relativistic effect is found to significantly change the basic properties (namely, the amplitude and the width) of the ion-acoustic waves. The result of the present investigation may be applicable to some plasma environments, such as ionosphere region.

scholarly journals Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Abeer A. Mahmoud ◽  
Essam M. Abulwafa ◽  
Abd-alrahman F. Al-Araby ◽  
Atalla M. Elhanbaly
Keyword(s):  
Solitary Waves ◽  
Kdv Equation ◽  
Nonlinear Coefficient ◽  
Dusty Plasmas ◽  
Reductive Perturbation Method ◽  
Plasma Parameters ◽  
First Order ◽  
Dust Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Dust Acoustic

The presence and propagation of dust-acoustic solitary waves in dusty plasma contains four components such as negative and positive dust species beside ions and electrons are studied. Both the ions and electrons distributions are represented applying nonextensive formula. Employing the reductive perturbation method, an evolution equation is derived to describe the small-amplitude dust-acoustic solitons in the considered plasma system. The used reductive perturbation stretches lead to the nonlinear KdV and modified KdV equations with nonlinear and dispersion coefficients that depend on the parameters of the plasma. This study represents that the presence of compressive or/and rarefactive solitary waves depends mainly on the value of the first-order nonlinear coefficient. The structure of envelope wave is undefined for first-order nonlinear coefficient tends to vanish. The coexistence of the two types of solitary waves appears by increasing the strength of nonlinearity to the second order using the modified KdV equation.

Effect of superthermal electrons on dust-acoustic shock waves in coupled dusty plasmas

2012 ◽  
Vol 79 (1) ◽  
pp. 97-103
Author(s):  
HAMID REZA PAKZAD ◽  
MOULOUD TRIBECHE
Keyword(s):  
Shock Waves ◽  
Low Frequency ◽  
Dusty Plasmas ◽  
Dust Particles ◽  
Superthermal Electrons ◽  
Plasma Parameters ◽  
Strongly Coupled ◽  
Dust Acoustic ◽  
Strongly Coupled Dusty Plasma ◽  
Kappa Distributed Electrons

AbstractNonlinear dust-acoustic (DA) shock waves in coupled dusty plasmas with negative dust grains and kappa-distributed electrons are discussed. Using a generalized hydrodynamic model, the dispersion relation and the Korteweg–de Vries-Burger (KdVB) equation for low-frequency DA modes in a strongly coupled dusty plasma are derived. The dependence of shock waves on various plasma parameters is then explored. A solitonic profile may be converted into a shock structure when correlation among dust particles becomes stronger. The amplitude as well as the steepness of shock waves increases with increasing the value of the spectral index k.

Three-dimensional cylindrical Kadomtsev–Petviashvili equation in a dusty electronegative plasma

2010 ◽  
Vol 76 (3-4) ◽  
pp. 453-466 ◽  
Author(s):  
W. M. MOSLEM ◽  
U. M. ABDELSALAM ◽  
R. SABRY ◽  
E. F. EL-SHAMY ◽  
S. K. EL-LABANY
Keyword(s):  
Three Dimensional ◽  
Negative Ions ◽  
Expansion Method ◽  
Reductive Perturbation Method ◽  
Dust Particles ◽  
Physical Parameters ◽  
New Class ◽  
Electronegative Plasma ◽  
Petviashvili Equation ◽  
Stationary Dust

AbstractThe hydrodynamic equations of positive and negative ions, Boltzmann electron density distribution and Poisson equation with stationary dust particles are used along with the reductive perturbation method to derive a three-dimensional cylindrical Kadomtsev–Petviashvili equation. The generalized expansion method, used to obtain a new class of solutions, admits a train of well-separated bell-shaped periodic pulses. At certain condition, these periodic pulses degenerate to solitary wave solutions. The effects of the physical parameters on the solitary pulses are examined. Finally, the present results should elucidate the properties of ion-acoustic solitary pulses in multi-component plasmas, particularly in Earth's ionosphere.

scholarly journals Ion-Acoustic Rogue Waves in Double Pair Plasma Having Non-Extensive Particles

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 63
Author(s):  
Sharmin Jahan ◽  
Mohammad Nurul Haque ◽  
Nure Alam Chowdhury ◽  
Abdul Mannan ◽  
Abdullah Al Mamun
Keyword(s):  
Modulational Instability ◽  
Negative Ions ◽  
Rogue Waves ◽  
Reductive Perturbation Method ◽  
Plasma Parameters ◽  
Pair Plasma ◽  
Laboratory Plasmas ◽  
Plasma Species ◽  
Ion Acoustic ◽  
Basic Features

The modulational instability (MI) of ion-acoustic (IA) waves (IAWs) and associated IA rogue waves (IARWs) are studied in double-pair plasma containing inertial positive and negative ions, inertialess non-extensive electrons and iso-thermal positrons. A standard nonlinear Schrödinger equation (NLSE) is derived by employing reductive perturbation method. It can be seen from the numerical analysis that the plasma system supports both modulationally stable (unstable) parametric regime in which the dispersive and nonlinear coefficients of the NLSE have opposite (same) sign. It is also found that the basic features of IAWs (viz., MI criteria of IAWs, amplitude, and width of the IARWs, etc.) are rigorously changed by the plasma parameters such as mass, charge state, and number density of the plasma species. The outcomes of our present investigation should be useful in understanding the propagation of nonlinear electrostatic IAWs and associated IARWs in astrophysical and laboratory plasmas.

Sign in / Sign up

Export Citation Format

Share Document