Dust Ion-acoustic K-dV and Modified K-dV Solitons in a Dusty Degenerate Dense Plasma

A theoretical investigation has been made of the roles of the degeneracy and the dynamics of electrons and ions on the DIA (dust ion-acoustic) Korteweg-de Vries (K-dV) and modified Kortewegde Vries (mK-dV) solitons that are found to exit in a dusty degenerate dense plasma containing non-relativistic degenerate ions and both non-relativistic and ultra relativistic electrons fluids, and the negatively charged dust grains. This fluid model, which is valid for both the non-relativistic and ultra-relativistic limits has been employed with the reductive perturbation method. The K-dV and modified K-dV equations have been derived, and numerically examined. The basic features of K-dV and modified K-dV solitons have been analyzed. It has been observed that the dusty degenerate plasma system under consideration supports the propagation of solitons obtained from the solutions of K-dV and modified K-dV equations. The relevance of our results obtained from this investigation in compact astrophysical objects is briefly discussed.