Overtaking collisions of oblique isothermal <scp>ion‐acoustic</scp> multisolitons in <scp>ultra‐relativistic</scp> degenerate dense magnetoplasmas

Abstract

Abstract Overtaking collisions of oblique isothermal ion‐acoustic multisolitons are studied in an ultra‐relativistic degenerate dense magnetoplasma, containing non‐degenerate inertial warm ions and ultra‐relativistic degenerate inertialess electrons and positrons. A non‐linear Korteweg‐de Vries (KdV) equation describing oblique isothermal ion‐acoustic solitons (OIIASs) in such a plasma model is derived. By applying Hirota's bilinear method (HBM), the overtaking collisions of oblique isothermal ion‐acoustic multisoliton solutions are investigated. An in‐depth discussion shows that the amplitude, the width, and the phase shift of isothermal ion‐acoustic multisolitons increase as the obliqueness and the chemical potential of electrons increase. The deviation of the trajectories decreases with increasing concentration of fermions and the ion cyclotron frequency. The present finding of this study is applicable in compact objects, such as white dwarfs and neutron stars, having degenerate ultra‐relativistic dense electrons and positrons.