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

K. N. Mukta *

Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh

M. S. Zobaer

Department of Physics, Bangladesh University of Textiles, Tejgaon, Dhaka, Bangladesh

N. Roy

Department of Physics, Institute of Natural Science, United International University, Dhaka, Bangladesh

A. A. Mamun

Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh

*Author to whom correspondence should be addressed.


Abstract

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.

 

Keywords: Degenerate ions and electrons fluids, reductive perturbation method, degenerate pressure, solitons, negatively charged dust grains


How to Cite

N. Mukta, K., M. S. Zobaer, N. Roy, and A. A. Mamun. 2013. “Dust Ion-Acoustic K-DV and Modified K-DV Solitons in a Dusty Degenerate Dense Plasma”. Physical Science International Journal 3 (4):612-22. https://journalpsij.com/index.php/PSIJ/article/view/182.

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