Heavy- and light-nuclei acoustic dressed solitons in white dwarfs

A theoretical investigation has been carried out to examine the evolution of heavy- and light-nuclei acoustic (HLNA) dressed solitons (DSs) due to higher-order contributions of nonlinearity and dispersion effects in a degenerate ultra-relativistic degenerate quantum plasma composed of inertial heavy as well as light nuclei with inertia-less degenerate electrons. The nonlinear Korteweg–de Vries (KdV) equation is derived by using reductive perturbation method. Furthermore, higher-order corrections of nonlinearity and dispersion effects are considered and a linear inhomogeneous KdV-type equation is derived. With the contribution of higher-order effects, a new type of structures with two tails or DSs are formed. The influence of different plasma parameters on the dynamical evolution of the HLNA-DSs is examined. It is observed that insertion of higher-order corrections of nonlinearity and dispersion effects significantly alter the first-order soliton structures into DSs. The findings of present investigation may be applicable to provide a new insight to understand the evolution of HLNA-DSs in different dense astrophysical region.