Conditions for reflection and transmission of an ion acoustic soliton in a dusty plasma with variable charge dust

Modified Korteweg-de Vries (mKdV) equations are derived for the incident, reflected, and transmitted waves in order to examine the soliton reflection and its transmission through an inhomogeneous plasma comprising ions, dust grains with fluctuating charge and two types of electrons, namely nonisothe...

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Bibliographic Details
Published in:Physics of plasmas 2014-07, Vol.21 (7)
Main Authors: Malik, Hitendra K., Tomar, Renu, Dahiya, Raj P.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Comparative studies
Dust
DUSTS
Dusty plasmas
Electrons
Grains
INHOMOGENEOUS PLASMA
KORTEWEG-DE VRIES EQUATION
Mathematical analysis
Plasma physics
REFLECTION
SOCIO-ECONOMIC FACTORS
Solitary waves
SOLITONS
TRANSMISSION
Variation
VELOCITY
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Summary:Modified Korteweg-de Vries (mKdV) equations are derived for the incident, reflected, and transmitted waves in order to examine the soliton reflection and its transmission through an inhomogeneous plasma comprising ions, dust grains with fluctuating charge and two types of electrons, namely nonisothermal electrons and isothermal electrons. All the mKdV equations are coupled at the point of reflection and solved for the reflected soliton. Unlike others, a relation is established between the velocity shifts of the incident, reflected and transmitted solitons, and based on a critical value of the shift of incident soliton the strengths of the soliton reflection and transmission are talked about. Conditions are obtained for the soliton reflection and its transmission, and a comparative study is made for the two cases of fixed and fluctuating charges on the dust grains.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4889872