Ion-acoustic Gardner solitons in multi-ion degenerate plasma with the effect of polarization and trapping in the presence of a quantizing magnetic field

A theoretical investigation is presented for ion-acoustic Gardner solitons (GSs) and double layers (DLs) in a multi-ion plasma system. The plasma consists of inertial positively and negatively charged ions and negatively charged immobile heavy ions and electrons which are in trapping distribution, all existing in a quantizing magnetic field. The reductive perturbation method is used to derive Korteweg-de Vries (KdV), modified KdV (mKdV), and Gardner equations. It is found that the KdV solitons and Gardner solitons (GSs) are either compressive or rarefactive depending on the plasma parameters, whereas only compressive solitons are obtained in the mKdV case, wherever Gardner positive DLs exist. These solitons are significantly modified due to the introduction of the trapping parameter and polarization coefficient. The presented results are considered to be beneficial in understanding the solitary structures in