Cylindrical and spherical dust-ion-acoustic modified Gardner solitons in dusty plasmas with two-temperature superthermal electrons

Masud, M. M.; Mamun, A. A.

doi:10.1134/s1063780x14010012

Cited by 40 publications

(10 citation statements)

References 76 publications

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“…It is to be noted that the analysis of nonlinear structures in such dusty plasmas with the effects of obliqueness , external magnetic field , superthermality (Alam et al 2013), presence of positrons (Masud et al 2013c) and polarization force (Asaduzzaman and Mamun 2012c) by deriving mB or nKdVB equations are also the problems of great importance, but is beyond the scope of our present investigation.…”

Section: Discussionmentioning

confidence: 98%

Coexistence of DA shock and solitary waves in dusty plasmas with two-temperature-ions

Hasin

Tasnim

Masud

et al. 2015

Astrophys Space Sci

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The nonlinear propagation characteristics of cylindrical and spherical shock waves in an unmagnetized dusty plasma comprising of inertial negative dust, Boltzmann electrons, and ions with two distinct temperatures, are rigorously investigated by deriving the modified Burgers (mB) equation. Later, the nonplanar KdV-Burgers (nKdVB) equation is derived to show the presence of dispersive and dissipative effects on nonlinear waves. The standard reductive perturbation method is employed to derive the mB and nKdVB equations. The basic features of nonplanar dustacoustic (DA) waves (viz. amplitude, profile structure, etc.) are discussed. The present analysis can play important role to understand the basic features of nonlinear electrostatic waves in astrophysical plasmas.

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Section: Discussionmentioning

confidence: 98%

Coexistence of DA shock and solitary waves in dusty plasmas with two-temperature-ions

Hasin

Tasnim

Masud

et al. 2015

Astrophys Space Sci

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“…Where F k represents the kappa distribution function, Γ is the gamma function, w being the most probable speed of the energetic particles, given by w = [(2k − 3/k) 1/2 (k B T /m) 1/2 ], with T shows the characteristic kinetic temperature and w is related to the thermal speed V t = (k B T /m) 1/2 and, the parameter k symbolizes the spectral index [22] which defines the strength of the superthermality. The range of this parameter is 3/2 < k < ∞ [23]. In the limit k → ∞ [24,25], the kappa distribution function lessens to the well-known Boltzmann distribution.…”

Section: Introductionmentioning

confidence: 95%

Solitary waves and double layers in an adiabatic multi-component space plasma

Shah¹,

Rahman²,

Hossen³

et al. 2017

Preprint

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The formation and propagation of small amplitude Heavy-ion-acoustic (HIA) solitary waves and double layers in an unmagnetized collisionless multi-component plasma system consisting of superthermal electrons, Boltzmann distributed light ions, and adiabatic positively charged inertial heavy ions are theoretically investigated. The reductive perturbation technique is employed to derive the modified Korteweg-de Vries (mK-dV) and standard Gardner (SG) equations. The solitary wave (SW) solution of mK-dV and SG equations as well as Double Layers (DLs) solution of SG equation is studied for analysis of higher-order nonlinearity. It is found that the plasma system under consideration supports positive and negative potential Gardner solitons but only positive potential mK-dV solitons. In addition, it is shown that, the basic properties of HIA mK-dV and Gardner solitons and DLs (viz. polarity, amplitude, width, and phase speed) are incomparably influenced by the adiabaticity effect of heavy ions and the superthermality effect of electrons. The relevance of the present findings to the system of space plasmas as well as to the system of researchers interest is specified.

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“…The stationary solitary wave solution of the MK-dV equation [Eq. (41)] is given by where φ m = 6u 0 /α 1 α 3 is the amplitude, and ̟ = u 0 /α 3 is the width of HIA SWs. To identify the salient features (viz.…”

Section: B Mk-dv Equationmentioning

confidence: 99%

“…], with T being the characteristic kinetic temperature and ω is related to the thermal speed V t = (k B T /m) 1/2 and, the parameter k represents the spectral index [40] which defines the strength of the superthermality. The range of this parameter is 3/2 < k < ∞ [41]. In the limit k → ∞ [42,43] the kappa distribution function reduces to the well-known Maxwell-Boltzmann distribution.…”

Section: Introductionmentioning

confidence: 99%

Oblique propagation of electrostatic waves in a magnetized EPI plasma

Sarker,

Hosen,

Shah

et al. 2017

Preprint

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A theoretical investigation is carried out to understand the basic features of nonlinear propagation of heavy ion-acoustic (HIA) waves subjected to an external magnetic field in an electron-positronion (EPI) plasma which consists of cold magnetized positively charged heavy ion fluids, and superthermal distributed electrons and positrons. In the nonlinear regime, the Korteweg-de Vries (K-dV) and modified K-dV(MK-dV) equations describing the propagation of HIA waves are derived. The latter admits a solitary wave solution with both positive and negative potentials (for K-dV equation) and only positive potential (for mK-dV equation) in the weak amplitude limit. It is observed that the effects of external magnetic field (obliqueness), superthermal electrons and positrons, different plasma species concentration, heavy ion dynamics and temperature ratio significantly modify the basic features of solitary waves (SWs). The application of the results in a magnetized EPI plasma, which occurs in many astrophysical objects (e.g., pulsars, cluster explosions, and active galactic nuclei) is briefly discussed.

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Cylindrical and spherical dust-ion-acoustic modified Gardner solitons in dusty plasmas with two-temperature superthermal electrons

Cited by 40 publications

References 76 publications

Coexistence of DA shock and solitary waves in dusty plasmas with two-temperature-ions

Coexistence of DA shock and solitary waves in dusty plasmas with two-temperature-ions

Solitary waves and double layers in an adiabatic multi-component space plasma

Oblique propagation of electrostatic waves in a magnetized EPI plasma

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