Head on collision of dust ion acoustic solitary waves in magnetized quantum dusty plasmas

Ghorui, Malay Kumar; Chatterjee, Prasanta; Wong, C. S.

doi:10.1007/s10509-012-1276-2

Cited by 34 publications

(9 citation statements)

References 32 publications

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“…Sometimes, there are different kinds of dust particles and different kinds of ions in a dusty plasma. Tremendous progress in dusty plasmas has been made to date (Kalman, Rosenberg & DeWitt 2000;Shukla 2001;Xie & He 2001;Wang & Wu 2002;Fortov et al 2005;Shukla & Eliasson 2009;Teng et al 2009;Couëdel et al 2010;Ghorui, Chatterjee & Wong 2013;Ghorui et al 2014;Merlino 2014;Han et al 2015;Seadawy 2015). The remarkable feature of a dusty plasma is that there are low-frequency waves (Rao, Shukla & Yu 1990;Shukla 1992;Barkan, Merlino & D'Angelo 1995;Pieper & Goree 1996;Praburam & Goree 1996;Merlino et al 1998;Bandyopadhyay et al 2008;Dubinov & Sazonkin 2013;Kumar Tiwari & Sen 2016;Verheest & Hereman 2019).…”

Section: Introductionmentioning

confidence: 99%

Application scope of the reductive perturbation method to derive the KdV equation and CKdV equation in dusty plasma

et al. 2023

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The application scopes of two different reductive perturbation methods to derive the Korteweg–de Vries (KdV) equation and coupled KdV (CKdV) equation in two-temperature-ion dusty plasma are given by using the particle-in-cell (PIC) numerical method in the present paper. It suggests that the reductive perturbation method (RPM) is valid if the amplitude of the CKdV solitary wave is small enough. However, for the KdV solitary wave, RPM is valid not only if the amplitude of the KdV solitary wave is small enough, but also if the nonlinear coefficient of the KdV equation is not tending to zero.

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Section: Introductionmentioning

confidence: 99%

Application scope of the reductive perturbation method to derive the KdV equation and CKdV equation in dusty plasma

et al. 2023

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“…Analytically, in the collision of solitary waves, the solution of two Kortewege-de Vries (KdV) equations associated with two solitary waves can explain the resonance phenomena. During the last years, this technique has been frequently used in the literature to describe the head-on collision of solitary waves propagating in different media [18][19][20][21][22][23][24][25][26]. On another side, space plasma observations invoke that the electron populations in the dusty plasma systems can presence in a non-equilibrium form [27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Head-on collision of dust-ion acoustic solitary waves in a plasma with a nonextensive electron

Pakzad

Javadzadeh

Nobahar

2022

Preprint

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This paper is devoted to the study of head-on collision between a couple of dust-ion acoustic solitary (DIAS) waves in an unmagnetized dusty plasma comprised of inertial ions, negatively charged stationary dust grains and nonextensive electrons. To this end, using the extended Poincaré–Lighthill–Kuo approach, two Kortwege–de Vries equations for solitary waves are derived and the analytical phase shifts after the head-on collision of two DIAS waves are obtained. In the following, based on the numerical calculations the effects of the relative density and nonextensivity on phase shifts are investigated. The results show that the presence of nonextensive electrons in dusty plasma has noticeable effect on the characteristics of DIAS waves' collision. We believe that these results can be of usable in getting more insight into the DIAS waves' collision in laboratory and astrophysical plasmas.

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“…They showed the effect of the nonextensivity on the phase shift. Ghorui et al [22] investigated the headon collision of DIASWs in a magnetized quantum dusty plasma. Ashraf et al [23] studied the basic features of obliquely propagating DIASWs in a nonextensive magnetized dusty plasma containing nonextensive electrons, inertial ions, and negatively charged stationary dust.…”

Section: Introductionmentioning

confidence: 99%

Solitonic, Periodic and Quasiperiodic Behaviors of Dust Ion Acoustic Waves in Superthermal Plasmas

Saha

Chatterjee

2015

Braz J Phys

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The solitonic, periodic, and quasiperiodic behaviors of dust ion acoustic waves in superthermal plasmas with q-nonextensive electrons are studied using the bifurcation theory of planar dynamical systems through direct approach. Using a Galilean transformation, model equations are transformed to a Hamiltonian system involving electrostatic potential. The existence of solitary and periodic waves is shown for the unperturbed Hamiltonian system. Analytical forms of these waves are presented depending on physical parameters q and μ. The effects of q and μ are studied on characteristics of nonlinear dust ion acoustic solitary and periodic waves. It is observed that parameters q and μ significantly influence the characteristics of nonlinear dust ion acoustic solitary and periodic structures. Considering an external periodic perturbation, the quasiperiodic behavior of the perturbed Hamiltonian system for dust ion acoustic waves is studied. It is seen that the unperturbed Hamiltonian system has the solitary and periodic wave solutions whereas the perturbed Hamiltonian system has quasiperiodic motion for same values of parameters q, μ and v.

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Head on collision of dust ion acoustic solitary waves in magnetized quantum dusty plasmas

Cited by 34 publications

References 32 publications

Application scope of the reductive perturbation method to derive the KdV equation and CKdV equation in dusty plasma

Application scope of the reductive perturbation method to derive the KdV equation and CKdV equation in dusty plasma

Head-on collision of dust-ion acoustic solitary waves in a plasma with a nonextensive electron

Solitonic, Periodic and Quasiperiodic Behaviors of Dust Ion Acoustic Waves in Superthermal Plasmas

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