Abstract
We investigate the features of weakly nonlinear waves in a collisional dense plasma consisting of ultra-relativistic degenerate electrons and non-relativistic degenerate ions. In weak dissipation limit, the dynamics of low frequency nonlinear ion (solitary) wave is described by solving a damped Korteweg-deVries equation. The analytical and numerical analysis shows the existence of weakly dissipative solitons evolving with time. The characteristics of soliton evolution with plasma number density and slow ion-neutral collision rate are discussed with some detail. The relevance of the study with degenerate plasmas in ultra-dense astrophysical objects, particularly white dwarf stars is also pointed out.
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Ahmad, S., Ata-ur-Rahman & Khan, S.A. Weakly dissipative solitons in dense relativistic-degenerate plasma. Astrophys Space Sci 358, 16 (2015). https://doi.org/10.1007/s10509-015-2415-3
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DOI: https://doi.org/10.1007/s10509-015-2415-3