Shock Wave Excitation in Unmagnetized Multi-Component Plasmas.
Date
19-Jan-2024
Authors
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Journal ISSN
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Publisher
CUET
Abstract
This thesis deals with the nonlinear propagation of shock wave excitations by
assuming unmagnetized collisionless plasmas. The unmagnetized collisionless
plasma is assumed by the mixture of (i) inertial pair-ion and inertial-less
(𝛼, 𝑞)-distributed electrons and (ii) the (𝛼, 𝑞)-distributed electrons, negatively
charged distributed inertial heavy ions, positively charged distributed
Maxwellian light ions, and negatively charged distributed stationary dusts.
Then, the nonlinear propagation of ion acoustic and dust-ion acoustic shock
wave excitations is investigated by deriving Burgers equation via the reductive
perturbation technique. When Burgers equation is unable to describe the shock
wave excitations in the considered plasmas for the critical values of any specific
parameters, the modified forms of Burgers equation involving higher-order
nonlinearity or composition of nonlinearities are derived by taking the
higher-order correction of the reductive perturbation technique. Based on the
useful solutions of Burgers equation involving higher-order nonlinearity or the
composition of nonlinearities, the effect of plasma parameters is investigated
not only around the critical values but also at the composition of critical values.
This thesis also deals with the progress in understanding the propagation of
shock wave excitations for the super critical values of any specific parameter
that accompany an unmagnetized collisionless four-component dusty multi-ion
nonextensive plasma. To accomplish this goal, the formation of a modified
Burgers-type equation with quartic nonlinearity via the reductive perturbation
method and its analytical solution have been obtained. It is found that the
compressive electrostatic shocks are supported not only around the
super critical values but also at the super critical values of the specific
parameters. The outcomes of this thesis are expected to contribute to an
in-depth understanding of shock wave excitations in many astrophysical and
space environments in general. Moreover, it is expected that the outcomes of
this research work will be useful in understanding the nature of shock wave
propagation in plasmas and further laboratory verification.
assuming unmagnetized collisionless plasmas. The unmagnetized collisionless
plasma is assumed by the mixture of (i) inertial pair-ion and inertial-less
(𝛼, 𝑞)-distributed electrons and (ii) the (𝛼, 𝑞)-distributed electrons, negatively
charged distributed inertial heavy ions, positively charged distributed
Maxwellian light ions, and negatively charged distributed stationary dusts.
Then, the nonlinear propagation of ion acoustic and dust-ion acoustic shock
wave excitations is investigated by deriving Burgers equation via the reductive
perturbation technique. When Burgers equation is unable to describe the shock
wave excitations in the considered plasmas for the critical values of any specific
parameters, the modified forms of Burgers equation involving higher-order
nonlinearity or composition of nonlinearities are derived by taking the
higher-order correction of the reductive perturbation technique. Based on the
useful solutions of Burgers equation involving higher-order nonlinearity or the
composition of nonlinearities, the effect of plasma parameters is investigated
not only around the critical values but also at the composition of critical values.
This thesis also deals with the progress in understanding the propagation of
shock wave excitations for the super critical values of any specific parameter
that accompany an unmagnetized collisionless four-component dusty multi-ion
nonextensive plasma. To accomplish this goal, the formation of a modified
Burgers-type equation with quartic nonlinearity via the reductive perturbation
method and its analytical solution have been obtained. It is found that the
compressive electrostatic shocks are supported not only around the
super critical values but also at the super critical values of the specific
parameters. The outcomes of this thesis are expected to contribute to an
in-depth understanding of shock wave excitations in many astrophysical and
space environments in general. Moreover, it is expected that the outcomes of
this research work will be useful in understanding the nature of shock wave
propagation in plasmas and further laboratory verification.
Description
M.Phil. thesis on Mathematics
Keywords
1.Waves in plasma 2.Formation of fluid model equation 3.Results and discussions 4.Formation of Burgers equation 5.Theoretical model equations with plasma assumptions etc.