Abstract
Using the reductive perturbation technique (RPT), the nonlinear propagation of magnetosonic soli- tary waves in an ultracold, degenerate (extremely dense) electron-positron (EP) plasma (containing ultracold, degen- erate electron, and positron fluids) is investigated. The set of basic equations is reduced to a Korteweg-de Vries (KdV) equation for the lowest-order perturbed magnetic field and to a KdV type equation for the higher-order perturbed mag- netic field. The solutions of these evolution equations are obtained. For better accuracy and searching on new fea- tures, the new solutions are analyzed numerically based on compact objects (white dwarf) parameters. It is found that
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