Modulation instability and dissipative rogue waves in ion-beam plasma: Roles of ionization, recombination, and electron attachment

Guo, Shenyang; Mei, Liquan

doi:10.1063/1.4901037

Cited by 35 publications

(28 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…So the transverse effects naturally exist and introduce an anisotropy, which means that higher‐dimensional RWs require special attention. Recently, a few authors investigated the properties of RWs in different plasma systems [44–47] …”

Section: Introductionmentioning

confidence: 99%

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

Haque

Mannan

2020

Contributions to Plasma Physics

View full text Add to dashboard Cite

A more general and realistic four-component magnetized plasma medium consisting of opposite polarity ions and nonthermal distributed positrons and electrons is considered to investigate the stable/unstable frequency regimes of modulated ion-acoustic waves (IAWs) in the D-F regions of Earth's ionosphere. A (3 + 1)-dimensional nonlinear Schrödinger equation, which leads to the modulation instability (MI) of IAWs, is derived. The parametric regimes for the existence of the MI, first-and second-order rogue waves, and also their basic features (viz., amplitude, width, and speed) are found to be significantly modified by the effect of physical plasma parameters and external magnetic field. It is found that the nonlinearity of the different types of electronegative plasma system depends on the positive to negative ion mass ratio. It is also shown that the presence of nonthermal distributed electrons and positrons modifies the nature of the MI of the modulated IAWs. The implication of our results for the laboratory plasma [e.g., (Ar + , F −) electronegative plasma] and space plasma [e.g., (H + , H −), (H + , O − 2) electronegative plasma in D-F regions of Earth's ionosphere] are briefly discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

Haque

Mannan

2020

Contributions to Plasma Physics

View full text Add to dashboard Cite

show abstract

“…[1][2][3][4][5] Nowadays, the investigation of the non-linear waves and their propagation characteristics in a plasma has become an important subject of plasma physics. [11][12][13][14][15][16][17][18][19][20][21] Freak waves are one of the most attractive natural phenomena, carrying amplitudes much higher than the average wave crests around them [15,16] . [6][7][8][9] The KdV equation produces solitary structures of an un-modulated wave, while NLSE describes the dynamics of a modulated wave packet.…”

Section: Introductionmentioning

confidence: 99%

“…Interestingly, the NLSE not only gives a suitable description of the envelope solitons, but it can also be used to investigate the propagation of rogue/freak waves in optical fibres, Bose-Einstein condensates, atmospheric physics, and plasma physics. [11][12][13][14][15][16][17][18][19][20][21] Freak waves are one of the most attractive natural phenomena, carrying amplitudes much higher than the average wave crests around them [15,16] . The major mechanism suggested for the creation of such enormous amplitude waves is modulational instability.…”

Section: Introductionmentioning

confidence: 99%

Breather structures in a plasma with warm ions and Cairns electrons

Shan

2018

Contributions to Plasma Physics

View full text Add to dashboard Cite

The modulational instability (MI) of ion-acoustic waves (IAWs) in a two-component non-Maxwellian hot plasma with Cairns distributed electrons is investigated. Using the derivative expansion method, a non-linear Schrödinger equation (NLSE) is obtained. The criterion for MI, which occurs for small values of the carrier wavenumber, is obtained. It is found that non-thermal parameter modifies the criteria for MI instability. The analytical solutions of NLSE in the form of various types of freak waves, including the Peregrine soliton, the Akhmediev breather, and the Kuznetsov-Ma breather, are examined. The effects of the non-thermal parameter as well as ion-to-electron temperature ratio on the rogue wave profile are discussed. Our results should be relevant to wave propagation stability. Non-thermal models may play an increasingly important role in predicting complex plasma behaviour and understanding the underlying physical processes. KEYWORDSAkhmediev breather, breathers, Kuznetsov-Ma breather, Peregrine soliton 1

show abstract

“…The solution (21) predicts the concentration of the QEA wave in a small region due to the nonlinear properties of the plasma, and it is able to concentrate a significant amount of the wave energy into a relatively small area in space [34]. We have graphically shown the time dependent bright (envelope) solitons, i. e. the variation of a * a = |a| 2 with the position (ξ) and time (τ ).…”

Section: Nonlinear Schrödinger Equationmentioning

confidence: 99%

“…We are interested in the solution corresponding to the bright solitons (i.e. P/Q > 0) of the NLS equation, (18), which is given by [34,35]:…”

Section: Nonlinear Schrödinger Equationmentioning

confidence: 99%

Quantum Electron-acoustic Envelope Solitons and Their Modulational Instability in a Degenerate Quantum Plasma

Siddiki¹,

Mamun²,

Amin³

2018

AdAp

View full text Add to dashboard Cite

The basic features of linear and nonlinear quantum electron-acoustic (QEA) waves in a degenerate quantum plasma (containing non-relativistically degenerate electrons, superthermal or κ-distributed electrons, and stationary ions) are theoretically investigated. The nonlinear Schödinger (NLS) equation is derived by employing the reductive perturbation method. The stationary solitonic solution of the NLS equation is obtained, and examined analytically as well as numerically to identify the basic features of the QEA envelope solitons. It has been found that the effects of the degeneracy and exchange/Bohm potentials of cold electrons, and superthermality of hot electrons significantly modify the basic properties of linear and nonlinear QEA waves. It is observed that the QEA waves are modulationally unstable for k < kc, where kc is the maximum (critical) value of the QEA wave number k below which the QEA waves are modulationally unstable), and that for k < kc the solution of the NLS equation gives rise to the bright envelope solitons, which are found to be localized in both spatial (ξ) and time (τ ) axes. It is also observed that as the spectral index κ is increased, the critical value of the wave number (amplitude of the QEA envelope bright solitons) decreases (increases). The implications of our results should be useful in understanding the localized electrostatic perturbation in solid density plasma produced by irradiating metals by intense laser, semiconductor devices, microelectronics, etc.

show abstract

Modulation instability and dissipative rogue waves in ion-beam plasma: Roles of ionization, recombination, and electron attachment

Cited by 35 publications

References 43 publications

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

Breather structures in a plasma with warm ions and Cairns electrons

Quantum Electron-acoustic Envelope Solitons and Their Modulational Instability in a Degenerate Quantum Plasma

Contact Info

Product

Resources

About