Abstract
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Small and large amplitude linear and nonlinear ion acoustic and Langmuir waves are investigated for
plasma with the generalized equation of state (EoS). This EoS covers a wide range of energy-density
conditions from dilute classical regime up to the relativistically degenerate matter. Investigation shows
that the linear dispersion and localized excitations of ion acoustic waves are significantly affected by
the plasma parameters. It is also found that the criterion for ordinary soliton existence is significantly
different for fully degenerate and nondegenerate plasma regimes with given electron temperature. In the
nondegenerate regime, bright solitons form only for Mach numbers above a critical value which is only
a function of the fluid temperature.
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