The study of heavy nucleus acoustic (HNA) periodic and solitary waves in degenerate relativistic magneto-rotating quantum plasma (DRMQP) composed of relativistic degenerate electrons, light nuclei and non-degenerate mobile heavy nuclei is presented. Reductive perturbation technique is adopted to derive the Korteweg–de Vries (KdV) type equation for studying the characteristics of HNA periodic waves. Further energy balance equation is derived by using Sagdeev potential approach and HNA cnoidal wave solution is determined. Only positive potential nonlinear periodic and solitary structures are observed. The impact of number density ratio, charge density, magnetic field strength and rotational effect is analyzed on the characteristics of HNA cnoidal and solitary waves. The results of this investigation may shed light on the salient features of different nonlinear HNA waves in different astrophysical environments, especially in white dwarfs.

介绍了由相对论简并电子、轻核和非简并可移动重核组成的简并相对论磁旋转量子等离子体 (DRMQP) 中的重核声 (HNA) 周期和孤立波的研究。采用归约微扰技术推导了用于研究海航周期波特性的Korteweg-de Vries（KdV）型方程。进一步利用Sagdeev势法推导出能量平衡方程，确定海航脉络波解。仅观察到正电位非线性周期性和孤立结构。分析了数密度比、电荷密度、磁场强度和旋转效应对海航连续波和孤立波特性的影响。尤其是在白矮星中。