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Solitary waves in an ultrarelativistic degenerate dense plasma

Solitary waves in an ultrarelativistic degenerate dense plasma have been investigated by the reductive perturbation method. The modified Korteweg–de Vries equation has been derived and its numerical solutions have been analyzed to identify the basic features of spherical electrostatic solitary structures that may form in such a degenerate dense plasma. The implications of our results in compact astrophysical objects, particularly in white dwarfs, have been briefly discussed.