Ion Acoustic Cnoidal Waves in Ion-Beam Dense Plasma in the Presence of Quantizing Magnetic Field

Abstract

A study of propagation properties of ion-acoustic (IA) cnoidal waves in a magnetized degenerate quantum plasma comprising of inertial positive ions, weakly relativistic ion beam, and trapped electrons in the presence of quantizing magnetic field has been presented. The reductive perturbation technique is adopted to derive the Korteweg–de Vries (KdV)-type equation. Furthermore, the cnoidal wave solution of the KdV-type equation is obtained by using the Sagdeev pseudopotential method. Only positive potential IA cnoidal waves are evolved. The combined effects of ion-beam concentration, ion-beam velocity, quantizing magnetic field, and the temperature degeneracy of trapped electrons on the different characteristics of the IA cnoidal waves have been analyzed. The results of our present investigation may be useful to study the characteristics of IA cnoidal waves in dense astrophysical regions, such as white dwarfs.