Cylindrical and spherical dust ion-acoustic Gardner solitons in a quantum plasma

Hossain, Mainul; Mamun, A. A.; Ashrafi, K. S.

doi:10.1063/1.3646738

Cited by 61 publications

(33 citation statements)

References 46 publications

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“…investigated the spin solitons in magnetized electron-positron plasmas and derived the modified KdV equation for new Alfvénic solitary waves with the quantum spin effects of the particles. The nonplanar wave propagation in dense plasmas has also been investigated (Sahu and Roychoudhury 2007;Hossain et al 2011).…”

Section: Introductionmentioning

confidence: 99%

Fast magnetoacoustic solitary waves in dense magnetoplasmas in a cylindrical geometry

Masood

Mahmood

Rizvi

2012

Astrophys Space Sci

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Nonlinear properties of the quantum magnetoacoustic wave are studied in electron-ion magnetoplasmas. In this regard, cylindrical Korteweg deVries (CKdV) equation is derived for small amplitude perturbations. The solution of the planar KdV equation is obtained using the tanh method and is subsequently used as an initial profile to solve the CKdV equation. It is found that the system under consideration admits compressive solitary structures. Finally, it is found that the amplitude as well as the width of the nonplanar magnetosonic solitary structure increases with the increase in the magnetic field whereas a decrease is observed with the increase in number density of the system. The present study may be beneficial to understand the nonlinear wave propagation in nonplanar geometries in dense plasmas.

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Section: Introductionmentioning

confidence: 99%

Fast magnetoacoustic solitary waves in dense magnetoplasmas in a cylindrical geometry

Masood

Mahmood

Rizvi

2012

Astrophys Space Sci

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“…Nowadays, waves (particularly, dust-acoustic (DA) waves) in dusty plasmas, [1][2][3][4][5][6][7][8][9] which occur in space (viz., in interstellar medium, interplanetary space, interstellar or molecular clouds, comets, planetary rings, Earth's environments, etc. [10][11][12][13][14] as well as in laboratory devices, [14][15][16] have attracted a great deal of interest in understanding the electrostatic density perturbations and nonlinear potential structures observed in different regions of space and laboratory devices.…”

Section: Introductionmentioning

confidence: 99%

Multi-dimensional instability of dust-acoustic solitary waves in a magnetized plasma with opposite polarity dust

2012

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Dust-acoustic (DA) solitary structures and their multi-dimensional instability in a magnetized dusty plasma (containing inertial negatively and positively charged dust particles, and Boltzmann electrons and ions) have been theoretically investigated by the reductive perturbation method, and the small-k perturbation expansion technique. It has been found that the basic features (polarity, speed, height, thickness, etc.) of such DA solitary structures, and their multi-dimensional instability criterion or growth rate are significantly modified by the presence of opposite polarity dust particles and external magnetic field. The implications of our results in space and laboratory dusty plasma systems have been briefly discussed.

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“…The dust-ion-acoustic solitary waves (DIASWs) have been interpreted by several authors. [27][28][29][30] The study of the wave propagation in dusty multi-ion plasmas (positive ions and negative ions [31][32][33][34] ) has received a great deal of attention to the plasma physics researchers because of the endurance of multi-ion plasma is now confirmed in both space 35,36 and laboratory environments. 37 The plasma environments, such as in the Earths ionosphere 38 and cometary comae, the plasma contains both negative ion and positive ion species in addition to electrons.…”

Section: Introductionmentioning

confidence: 99%

Compressive and rarefactive dust-ion-acoustic Gardner solitons in a multi-component dusty plasma

2015

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The linear and nonlinear propagations of dust-ion-acoustic solitary waves (DIASWs) in a collisionless four-component unmagnetized dusty plasma system containing nonextensive electrons, inertial negative ions, Maxwellian positive ions, and negatively charged static dust grains have been investigated theoretically. The linear properties are analyzed by using the normal mode analysis and the reductive perturbation method is used to derive the nonlinear equations, namely, the Korteweg-de Vries (K-dV), the modified K-dV (mK-dV), and the Gardner equations. The basic features (viz., polarity, amplitude, width, etc.) of Gardner solitons (GS) are found to exist beyond the K-dV limit and these dust-ion-acoustic GS are qualitatively different from the K-dV and mKdV solitons. It is observed that the basic features of DIASWs are affected by various plasma parameters (viz., electron nonextensivity, negative-to-positive ion number density ratio, electron-to-positive ion number density ratio, electron-to-positive ion temperature ratio, etc.) of the considered plasma system. The findings of our results obtained from this theoretical investigation may be useful in understanding the nonlinear structures and the characteristics of DIASWs propagating in both space and laboratory plasmas. V C 2015 AIP Publishing LLC.

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Cylindrical and spherical dust ion-acoustic Gardner solitons in a quantum plasma

Cited by 61 publications

References 46 publications

Fast magnetoacoustic solitary waves in dense magnetoplasmas in a cylindrical geometry

Fast magnetoacoustic solitary waves in dense magnetoplasmas in a cylindrical geometry

Multi-dimensional instability of dust-acoustic solitary waves in a magnetized plasma with opposite polarity dust

Compressive and rarefactive dust-ion-acoustic Gardner solitons in a multi-component dusty plasma

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