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    1 - Implication of Quantum Effects on Non-Linear Propagation of Electron Plasma Solitons
    Journal of Optoelectronical Nanostructures , Issue 4 , Year , Autumn 2020
    We have studied the electron exchange-correlation effect on the
    characteristics of the two-component unmagnetized dense quantum plasma with
    streaming motion. For this purpose, we have used the quantum hydrodynamic model
    (including the effects of a quantum More
    We have studied the electron exchange-correlation effect on the
    characteristics of the two-component unmagnetized dense quantum plasma with
    streaming motion. For this purpose, we have used the quantum hydrodynamic model
    (including the effects of a quantum statistical Fermi electron temperature) for studying
    the propagation of an electrostatic electron plasma waves in such that plasma consisting
    of quantum electrons and immobile ions. It is found that by regarding the latter effect, it
    possible the excitation of two distinct modes. Some different cases such as:
    unmagnetized, collisionless, classical cases and some formulas presented and discussed.
    By using the reduced quantum hydrodynamic (QHD) model, the Korteweg de Vries
    (KdV) equation incorporating the electron exchange-correlation effect is derived. It was
    shown that the electron exchange-correlation phenomenon on the main quantities for both
    rarefactive and compressive types of solitary-wave propagation can be important. In
    particular, the arbitrary amplitude of electron solitary-wave experiences a spreading as
    the effect of exchange-correlation becomes effective. Variations of the width of the
    electron solitary wave for different plasma values were depicted. It was shown that by
    increasing the exchange values, the width of soliton decrease. Manuscript profile