Quantum ion-acoustic solitary waves in weak relativistic plasma |
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Authors: | BISWAJIT SAHU |
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Institution: | 1.Department of Mathematics,West Bengal State University,Barasat,India |
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Abstract: | Small amplitude quantum ion-acoustic solitary waves are studied in an unmagnetized two- species relativistic quantum plasma
system, comprised of electrons and ions. The one-dimensional quantum hydrodynamic model (QHD) is used to obtain a deformed
Korteweg–de Vries (dKdV) equation by reductive perturbation method. A linear dispersion relation is also obtained taking into
account the relativistic effect. The properties of quantum ion-acoustic solitary waves, obtained from the deformed KdV equation,
are studied taking into account the quantum mechanical effects in the weak relativistic limit. It is found that relativistic
effects significantly modify the properties of quantum ion-acoustic waves. Also the effect of the quantum parameter H on the nature of solitary wave solutions is studied in some detail. |
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