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Nonlinear Waves in GaAs Semiconductor

100%
Abdelsalam U., Allehiany F., Moslem W.
Acta Physica Polonica A
|
2016
|
vol. 129
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issue 4
472-477
EN
The nonlinear propagation of acoustic waves in electron-hole semiconductor plasmas is studied. For this purpose, the reductive perturbation method is employed to the basic equations obtaining the Gardner equation. The latter has been solved using an extended homogeneous balance method to obtain a set of analytical solutions including solitary wave solution. The effects of different physical parameters on the nonlinear structures are examined.
2
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Nonlinear Ion-Acoustic Waves in Gravitating Dusty Plasma with Non-Isothermal Electrons and Fluctuating Dust Charges

80%
Paul S., Pakira G., Paul B., Ghosh B.
Acta Physica Polonica A
|
2012
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vol. 122
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issue 1
116-121
EN
Using the reductive perturbation method a theoretical infrastructure has been developed to study the nonlinear propagation of ion-acoustic waves in self-gravitating multicomponent dusty plasma consisting of positive ions, non-isothermal electrons and negatively charged warm dust particles with fluctuating dust charges and drifting motion. It is shown that instead of coupled nonlinear equations as obtained by earlier authors the nonlinear propagation of ion-acoustic waves in such a plasma can be described by an uncoupled third order partial differential equation which is a modified form of the Korteweg-de Vries equation. From this equation, quasi-soliton solution is obtained for the ion-acoustic wave. The effects of non-isothermal electrons, gravity, dust charge fluctuations and drifting motion on the ion-acoustic solitary waves are discussed with application in astrophysical contexts. The importance of the model considered here has also been pointed out.
3
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Dispersion and Absorption of Longitudinal Electro-Kinetic Waves in Magnetized Ion-Implanted Semiconductor Plasmas

80%
Ghosh S., Thakur P.
Acta Physica Polonica A
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2007
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vol. 111
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issue 2
247-256
EN
The instability of longitudinal electro-kinetic wave that is propagating across the magnetic field B_0 in ion-implanted group-IV semiconductor sample consisting of non-drifting electrons, holes, and negatively charged colloids is investigated. Using hydrodynamic approach, a compact dispersion relation D(ω,k) is derived for the same. The propagation and amplification characteristics of the wave in collision dominated regime are studied numerically in detail for slow and fast modes. Results show that the presence of transverse magnetic field is responsible for the modification of the existing wave spectra of the slow electro-kinetic branch. In case of fast electro-kinetic wave, the presence of magnetic field is found responsible for excitation and amplification of a new mode. It is also found that the magnetic field is responsible for the conversion of two existing aperiodic modes into periodic ones. These novel periodic modes are found to be counter-propagating in nature.
4
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Canonization and Diagonalization of an Infinite Dimensional Noncanonical Hamiltonian System: Linear Vlasov Theory

80%
Morrison P., Shadwick B.
Acta Physica Polonica A
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1994
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vol. 85
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issue 4
759-769
EN
The Vlasov-Poisson equation, which is an infinite dimensional non-canonical Hamiltonian system, is linearized about a stable homogeneous equilibrium. Canonical variables for the resulting linear system are obtained. A coordinate transformation is introduced that brings the system, which possesses a continuous spectrum, into the action-angle form where the linearized energy is diagonal.
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