The Experts below are selected from a list of 219 Experts worldwide ranked by ideXlab platform
Rajkumar Roychoudhury - One of the best experts on this subject based on the ideXlab platform.
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Nonplanar Ion Acoustic Waves with Nonthermal Electrons
Earth Moon and Planets, 2012Co-Authors: Biswajit Sahu, Rajkumar RoychoudhuryAbstract:Using the standard reductive perturbatIon technique, nonlinear cylindrical and spherical Kadomtsev-Petviashvili (KP) equatIons are derived for the propagatIon of Ion Acoustic solitary Waves in an unmagnetized collisIonless plasma with nonthermal electrons and warm Ions. The influence of nonthermally distributed electrons and the effects caused by the transverse perturbatIon on cylindrical and spherical Ion Acoustic Waves (IAWs) are investigated. It is observed that the presence of nonthermally distributed electrons has a significant role in the nature of Ion Acoustic Waves. In particular, when the nonthermal distributIon parameter β takes certain values the usual cylindrical KP equatIon (CKPE) and spherical KP equatIon (SKPE) become invalid. One then has to have recourse to the modified CKPE or SKPE. Analytical solutIons of both CKPE and SKPE and their modified versIons are discussed in the present paper. The present investigatIon may have relevance in the study of propagatIon of IAWs in space and laboratory plasmas.
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cylindrical and spherical quantum Ion Acoustic Waves
Physics of Plasmas, 2007Co-Authors: Biswajit Sahu, Rajkumar RoychoudhuryAbstract:Cylindrical and spherical deformed Korteweg–de Vries (dKdV) equatIons are derived for quantum Ion Acoustic Waves in an unmagnetized two species quantum plasma system, comprised of electrons and Ions, by the reductive perturbatIon technique in the weakly nonlinear limit. The properties of quantum Ion Acoustic solitary Waves are studied taking into account the quantum mechanical effects in a nonplanar cylindrical or spherical geometry, which differs from one-dimensIonal planar geometry. Both analytical and numerical solutIons of the dKdV equatIons are discussed in some detail. There exists a critical value of quantum parameters beyond which the quantum Ion Acoustic soliton collapses. It is also found that for the critical values of H, viz., H=2, some nontrivial analytical solutIon exists for both cylindrical and spherical dKdV equatIons.
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Cylindrical and spherical Ion Acoustic Waves in a plasma with nonthermal electrons and warm Ions
Physics of Plasmas, 2005Co-Authors: Biswajit Sahu, Rajkumar RoychoudhuryAbstract:Using the reductive perturbatIon technique, nonlinear cylindrical and spherical Korteweg–de Vries (KdV) and modified KdV equatIons are derived for Ion Acoustic Waves in an unmagnetized plasma consisting of warm adiabatic Ions and nonthermal electrons. The effects of nonthermally distributed electrons on cylindrical and spherical Ion Acoustic Waves are investigated. It is found that the nonthermality has a very significant effect on the nature of Ion Acoustic Waves.
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exact solutIons of cylindrical and spherical dust Ion Acoustic Waves
Physics of Plasmas, 2003Co-Authors: Biswajit Sahu, Rajkumar RoychoudhuryAbstract:Cylindrical and spherical modified Korteweg–de Vries (KdV) equatIons are derived for dust Ion Acoustic Waves. It is shown that a suitable coordinate transformatIon reduces the cylindrical KdV equatIon into the ordinary KdV equatIon which can be solved analytically. A completely different analytical solutIon is obtained using the group analysis method. However, for cylindrical and spherical modified KdV equatIons group analysis method yields trivial analytical solutIons. Numerically, solutIons to these modified KdV equatIons are obtained assuming initial profiles similar to those in one-dimensIonal soliton solutIons.
M. Y. Yu - One of the best experts on this subject based on the ideXlab platform.
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evolutIon of nonlinear dust Ion Acoustic Waves in an inhomogeneous plasma
Physics of Plasmas, 2006Co-Authors: Delong Xiao, J X, Yangfang Li, M. Y. YuAbstract:The propagatIon of nonlinear dust-Ion-Acoustic Waves in an inhomogeneous dusty plasma is studied. At small but finite amplitudes, the wave evolutIon is governed by a modified Korteweg–deVries Burgers equatIon, whose coefficients are space dependent. The properties of the evolutIon equatIon are analyzed and the behavior of the corresponding shock and soliton solutIons is numerically studied. If dust-charge perturbatIon is neglected, there exists a zero-nonlinearity point where the coefficient of the nonlinear term changes from negative to positive. At that point the nonlinear wave also undergoes structural deformatIon. If the dust-charge perturbatIon is taken into account, the zero-nonlinearity point may not appear and the soliton or shock wave will retain its form during the propagatIon.
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Ion Acoustic Waves in a dust contaminated plasma
Physical Review E, 1999Co-Authors: S V Vladimirov, Kostya Ostrikov, M. Y. YuAbstract:A self-consistent theory of Ion-Acoustic Waves in dusty gas discharge plasmas is presented. The plasma is contaminated by fine dust particles with variable charge. The statIonary state of the plasma and the dispersIon and damping characteristics of the Waves are investigated accounting for IonizatIon, recombinatIon, dust charge relaxatIon, and dissipatIon due to electron and Ion elastic collisIons with neutrals and dusts, as well as charging collisIons with the dusts.
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Nonlinear Ion-Acoustic Waves in a collisIonal plasma
Physical Review A, 1993Co-Authors: Sergey V. Vladimirov, M. Y. YuAbstract:It is shown that finite-amplitude Ion-Acoustic Waves in a collisIon-dominated plasma are described by a Korteweg-de Vries-Burger equatIon, which has the same form, but with very different scaling and parameter dependence from that describing Ion-Acoustic Waves in a weakly collisIonal plasma
Bo Tian - One of the best experts on this subject based on the ideXlab platform.
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on the non planar dust Ion Acoustic Waves in cosmic dusty plasmas with transverse perturbatIons
EPL, 2007Co-Authors: Bo TianAbstract:Dust-Ion-Acoustic Waves in a cosmic dusty plasma is investigated, in spherical geometry with both azimuthal and zenith perturbatIons existing. (3+1)-dimensIonal spherical Kadomtsev-Petviashvili ((3+1)DsKP) model is constructed with symbolic computatIon, 4th-ordered and with variable coefficients. Auto-Backlund transformatIon and (3+1)DsKP nebulons are analytically obtained for such a generic model. Astromechanical and physical implicatIons are discussed, of the supernova-shell-type expanding bright and Saturn-F-ring-type expanding dark (3+1)DsKP nebulons. Possibly observable nebulonic effects are proposed for future cosmic experiments.
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cosmic dust Ion Acoustic Waves spherical modified kadomtsev petviashvili model and symbolic computatIon
Physics of Plasmas, 2006Co-Authors: Bo TianAbstract:The spherical modified Kadomtsev-Petviashvili (smKP) model is hereby derived with symbolic computatIon for the dust-Ion-Acoustic Waves with zenith-angle perturbatIon in a cosmic dusty plasma. FormatIon and properties of both dark and bright smKP nebulons are obtained and discussed. The relevance of those smKP nebulons to the supernova shells and Saturn’s F-ring is pointed out, and possibly observable nebulonic effects for the future cosmic plasma experiments are proposed. The difference of the smKP nebulons from other types of nebulons is also analyzed.
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cylindrical kadomtsev petviashvili model nebulons and symbolic computatIon for cosmic dust Ion Acoustic Waves
Physics Letters A, 2006Co-Authors: Bo TianAbstract:Abstract Dusty plasmas have been found almost everywhere in the Universe. In such cosmic dusty-plasma environments as the supernova shells and Saturn's F-ring, a cylindrical Kadomtsev–Petviashvili model is derived with symbolic computatIon for the dust Ion-Acoustic Waves with azimuthal perturbatIon. Cylindrical nebulon structures are symbolically obtained, including the supernova-shell-typed expanding and shrinking bright nebulons and Saturn's-F-ring-typed expanding and shrinking dark nebulons. Possibly-observable nebulonic effects for the future cosmic plasma experiments are proposed.
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spherical kadomtsev petviashvili equatIon and nebulons for dust Ion Acoustic Waves with symbolic computatIon
Physics Letters A, 2005Co-Authors: Bo TianAbstract:Abstract Plasmas and dust exist almost everywhere in the Universe. For the dust Ion-Acoustic Waves with zenith-angle perturbatIon, a spherical Kadomtsev–Petviashvili equatIon is derived with symbolic computatIon. Spherical structures of the expanding dark nebulon, shrinking dark nebulon, expanding bright nebulon and shrinking bright nebulon are symbolically obtained and discussed. Possibly-observable nebulonic effects for the future space and laboratory plasma experiments are proposed.
Aly R Seadawy - One of the best experts on this subject based on the ideXlab platform.
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three dimensIonal nonlinear modified zakharov kuznetsov equatIon of Ion Acoustic Waves in a magnetized plasma
Computers & Mathematics With Applications, 2016Co-Authors: Aly R SeadawyAbstract:The nonlinear three-dimensIonal modified Zakharov-Kuznetsov (mZK) equatIon governs the behavior of weakly nonlinear Ion-Acoustic Waves in a plasma comprising cold Ions and hot isothermal electrons in a presence of a uniform magnetic field. By using the reductive perturbatIon procedure leads to a mZK equatIon governing the propagatIon of Ion dynamics of nonlinear Ion-Acoustic Waves in a plasma. The mZK equatIon has solutIons that represent solitary traveling Waves. We found the electrostatic field potential and electric field in form traveling wave solutIons for three-dimensIonal mZK equatIon. The solutIons for the mZK equatIon are obtained precisely and efficiency of the method can be demonstrated. The stability of solitary traveling wave solutIons of the mZK equatIon to three-dimensIonal long-wavelength perturbatIons are investigated.
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stability analysis for two dimensIonal Ion Acoustic Waves in quantum plasmas
Physics of Plasmas, 2014Co-Authors: Aly R SeadawyAbstract:The quantum hydrodynamic model is applied to two-dimensIonal Ion-Acoustic Waves in quantum plasmas. The two-dimensIonal quantum hydrodynamic model is used to obtain a deformed Kortewegde Vries (dKdV) equatIon by reductive perturbatIon method. By using the solutIon of auxiliary ordinary equatIons, a extended direct algebraic method is described to construct the exact solutIons for nonlinear quantum dKdV equatIon. The present results are describing the generatIon and evolutIon of such Waves, their interactIons, and their stability.
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stability analysis for zakharov kuznetsov equatIon of weakly nonlinear Ion Acoustic Waves in a plasma
Computers & Mathematics With Applications, 2014Co-Authors: Aly R SeadawyAbstract:The Zakharov-Kuznetsov (ZK) equatIon is an isotropic nonlinear evolutIon equatIon, first derived for weakly nonlinear Ion-Acoustic Waves in a strongly magnetized lossless plasma in two dimensIons. In the present study, by applying the extended direct algebraic method, we found the electric field potential, electric field and magnetic field in the form of traveling wave solutIons for the two-dimensIonal ZK equatIon. The solutIons for the ZK equatIon are obtained precisely and the efficiency of the method can be demonstrated. The stability of these solutIons and the movement role of the Waves are analyzed by making graphs of the exact solutIons.
S A Khan - One of the best experts on this subject based on the ideXlab platform.
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linear and nonlinear quantum Ion Acoustic Waves in dense magnetized electron positron Ion plasmas
Physics of Plasmas, 2008Co-Authors: S A Khan, W MasoodAbstract:The linear and nonlinear quantum Ion-Acoustic Waves propagating obliquely in two dimensIons in superdense, magnetized electron-positron-Ion quantum plasma are investigated on the basis of quantum hydrodynamic model. It is found in linear analysis that the quantum correctIons of diffractIon are important in the very short wavelength regime that may be found in dense astrophysical plasmas. To investigate the solitary Waves, the Zakharov-Kuznetsov equatIon is derived and the solutIon is presented in the small amplitude limit. By numerical analysis, it is found that the soliton structure of the Ion Acoustic wave depends upon quantum pressure, concentratIon of positrons, strength of magnetic field, and the propagatIon angle.
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linear and nonlinear dust Ion Acoustic Waves in ultracold quantum dusty plasmas
Physics of Plasmas, 2007Co-Authors: S A Khan, A MushtaqAbstract:By considering the one-dimensIonal quantum hydrodynamic model for a three-species ultracold quantum dusty plasma, the properties of dust-Ion-Acoustic Waves are studied. The dispersIon relatIon in the linear regime and the Korteweg–de Vries equatIon in the nonlinear regime are derived by incorporating quantum correctIons. The quantum-mechanical effects through quantum diffractIon and quantum statistics as well as the role of immobile charged dust particulates are studied both analytically and numerically. It is found that the amplitude and width of the dust Ion Acoustic solitary Waves are significantly affected by the quantum correctIons and concentratIon of the dust particles.
