Behaviour of multiple solitons in a magneto-rotating degenerate electron-ion dense plasma

Abstract In this work, we investigate the nonlinear dynamics of overtaking multiple solitons in a magneto-rotating degenerate electron–ion dense plasma containing non-relativistic degenerate ion and non-relativistic or ultra-relativistic degenerate electron fluids, which is relevant to both high-density astrophysical environments and laboratory plasma configurations. By employing the reductive perturbation approach, we derive the Korteweg–de Vries (KdV) equation that characterizes the propagation of ion-acoustic multiple solitons of small amplitude in the presence of an external magnetic field and plasma rotation. Utilizing the simplified Hirota method along with the Cole-Hopf transformation, we construct multiple soliton solutions to the KdV equation. The obtained result shows that the magnetic field and plasma rotation have a substantial impact on the soliton properties, while they decrease the soliton amplitude and width. Besides, the presence of ultra-relativistic electrons causes higher amplitude and width. It is expected that the findings of our present investigation will help understand the dynamics of overtaking multiple solitons propagating in white dwarfs, neutron stars, etc