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Abstract
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In the current research, we use the hydrodynamic model of electron-ion plasmas with a very general Fermi–Dirac equation of state for electrons in order to investigate the modulational behaviour of ion acoustic (IA) excitation in environments relevant to a wide range of parameters from laboratory to astrophysical phenomena. The reductive perturbation method is used to reduce the model equations into the nonlinear Schrödinger equation from which the dispersion of modulated IA excitations is evaluated and the stability criterion for nonlinear envelope excitations is obtained in terms of normalized electron temperature and chemical potential, applicable to a wide range of parametric space from solid state and inertial-confined fusion plasmas up to the compact stellar objects like white dwarf stars. It is shown that both kinds of bright and dark envelop solitons can exist in warm dense matter, and their stability depends strongly on electron fluid parameters.
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