Solitons of the KP equation in dusty plasma with variable dust charge and two temperature ions: energy and stability

Pakzad, Hamid Reza; Javidan, Kurosh

doi:10.1007/s12648-009-0122-z

Cited by 12 publications

(4 citation statements)

References 18 publications

(15 reference statements)

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“…Kaur et al [22] investigated solitary features in the framework of the Kortweg-deVries (KdV) equation obtained from a plasma with nonthermal electrons and weakly relativistic ions using the RPT. Similarly, other authors have studied different dynamical features in different plasma models under the framework of the KdV equation [23], modified KdV equation [24], modified Gardner equation [25], Burgers equation [26], nonlinear Schrödinger equation [27], Kadomtsev-Petviashivili [28] obtained using the RPT. Poria and Ghosh [29] studied a magnetized electron-ion plasma with Boltzmann distributed electrons.…”

Section: Introductionmentioning

confidence: 99%

Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

Saha¹,

Pradhan²,

Natiq³

2022

Phys. Scr.

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Dynamical features of small-amplitude ion-acoustic waves are investigated under KP-type equation in a magnetized electron-ion plasma, where electrons follow q-nonextensive distribution. To carry out this investigation, a four dimensional conservative dynamical system is proposed from this plasma model. By changing values of travelling wave velocity, ratio between ion gyro frequency and ion plasma frequency and q-nonextensive parameter, the system produces different dynamical features, such as periodic, multi-periodic, quasiperiodic, and chaotic ion-acoustic wave phenomena. It is observed that ratio between ion gyro frequency and ion plasma frequency plays the key role in the existence of ion-acoustic chaotic wave phenomenon. Also, existence of higher order periodic trajectories is seen to indicate chaotic phenomenon.

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Section: Introductionmentioning

confidence: 99%

Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

Saha¹,

Pradhan²,

Natiq³

2022

Phys. Scr.

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“…The non-linear behavior of electrostatic waves in a plasma with this trapped state [25−27] has received considerable attention and been studied by a number of au-thors in the last few years in unmagnetized and magnetized plasmas [26−29] . Most of the studies have focused on the derivation of K-dV and K-P equations using the reductive perturbation technique [30,31] as well as the Sagdeev potential approach [32] . For example, Mamun et al [24] investigated the effects of vortex-like and non-thermal ion distributions within the small amplitude regime using a modified K-dV equation, and they concluded that there exists the possibility of coexistence of large amplitude rarefactive as well as compressive DASWs, whereas these structures appear independently when the wave amplitudes become infinitely small [29] .…”

Section: Introductionmentioning

confidence: 99%

Dust Acoustic Shock Waves with Non-Thermal and Vortex-Like Ions in Dusty Plasma

Dev

Sarma²,

Deka

et al. 2015

Plasma Sci. Technol.

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A rigorous investigation is presented on the propagation characteristics of non-linear dust acoustic (DA) waves in an unmagnetized dusty plasma system containing non-thermal and vortex-like ions and Maxwellian electrons under the effect of a fluctuating charged dust fluid. The three-dimensional (3D) Burgers' equation and a new form of a lower degree modified 3D Burgers' equation with their analytical solutions are derived to study the features of shock waves in such plasmas. The effect of the population of non-thermal ions, the vortex-like ion parameter as well as the temperature ratios of ions and electrons on the evolution of shock waves in the presence of dust charge fluctuation is presented. This theoretical investigation might be effectively utilized to unveil the nature of many astrophysical plasma environments (Saturn's spokes etc.) where such plasmas are reported to have existed.

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“…Nonlinear propagation of sound waves in plasmas has been studied over last few years [1][2][3][4][5][6][7][8][9][10][11][12]. Quantum effect on plasma has to be considered when the de Broglie wavelength of the charge carriers is comparable with the dimension of the system.…”

Section: Introductionmentioning

confidence: 99%

Ion-acoustic dressed soliton in electron-ion quantum plasma

Roy

Chatterjee

2011

Indian J Phys

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Ion acoustic dressed soliton in an unmagnetized two-species electron-ion quantum plasma is studied. Using reductive perturbation technique, a higher order inhomogeneous (KdV-type) differential equation is derived for the second order correction. The nonsecular solution is obtained by using renormalization procedure. A new technique is used to obtain the particular solution of the higher order inhomogeneous equation which is found to be simpler compared to the technique used by previous investigators.

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Solitons of the KP equation in dusty plasma with variable dust charge and two temperature ions: energy and stability

Cited by 12 publications

References 18 publications

Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

Dust Acoustic Shock Waves with Non-Thermal and Vortex-Like Ions in Dusty Plasma

Ion-acoustic dressed soliton in electron-ion quantum plasma

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