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.

中文翻译：

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量子化磁场存在下离子束致密等离子体中的离子声弦线波


提出了在存在量子磁场的情况下，由惯性正离子、弱相对论性离子束和俘获电子组成的磁化简并量子等离子体中离子声（IA）椭圆曲线传播特性的研究。采用还原摄动技术推导了Korteweg-de Vries (KdV)型方程。进一步利用Sagdeev赝势法得到了KdV型方程的椭圆曲线解。仅产生正电位 IA 余弦波。分析了离子束浓度、离子束速度、量子化磁场和俘获电子温度简并性对 IA 椭圆曲线不同特性的综合影响。我们目前的研究结果可能有助于研究白矮星等致密天体物理区域中 IA 椭圆形波的特征。