Modeling of Modified Electron-acoustic Solitary Waves in a Relativistic Degenerate Plasma

다국어 초록 (Multilingual Abstract)

The modeling of a theoretical and numerical study on the nonlinear propagation of modifiedelectron-acoustic (mEA) solitary waves has been carried out in an unmagnetized, collisionless, relativistic,degenerate quantum plasma (containing non-relativistic degenerate inertial cold electrons,both non-relativistic and ultra-relativistic degenerate hot electron and inertial positron fluids, andpositively-charged static ions). A reductive perturbation technique is used to derive the planar andthe nonplanar Korteweg-de Vries (K-dV) equations, which admit a localized wave solution for thesolitary profile. The solitary wave’s characteristics are found to have been influenced significantlyforin the non-relativistic and the ultra-relativistic limits. The mEA solitary waves are also foundto have been significantly modified due to the effects of the degenerate pressure and the numberdensities of this dense plasma’s constituents. The properties of the planar K-dV solitary wave arequite different from those of the nonplanar K-dV solitary wave. The relevance of our results toastrophysical objects (like white dwarfs and neutron stars), which are of scientific interest, is brieflymentioned.

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