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Localized electrostatic excitations in a thomas-fermi plasma containing degenerate electrons

Abdelsalam, U.M. and Moslem, W.M. and Shukla, P.K. (2008) Localized electrostatic excitations in a thomas-fermi plasma containing degenerate electrons. Physics of Plasmas, 15 (5). 052303. ISSN 1070-664X

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By using the Thomas-Fermi electron density distribution for quantum degenerate electrons, the hydrodynamic equations for ions, and the Poisson equation, planar and nonplanar ion-acoustic solitary waves in an unmagnetized collisionless plasma are investigated. The reductive perturbation method is used to derive cylindrical and spherical Korteweg-de Vries equations. Numerical solutions of the latter are presented. The present results can be useful in understanding the features of small but finite amplitude localized ion-acoustic solitary pulses in a degenerate plasma