Sagdeev Potential Approach for Investigating Compressive and Rarefactive Dust Acoustic Waves with Arbitrary Amplitude in Quantum Dusty Plasma and its Applications in Aerospace Environments

Pourjafari, Neda; Emadi, Elham

doi:10.22034/joae.2025.476994.1244

Sagdeev Potential Approach for Investigating Compressive and Rarefactive Dust Acoustic Waves with Arbitrary Amplitude in Quantum Dusty Plasma and its Applications in Aerospace Environments

Document Type : Original Article

Authors

Neda Pourjafari ¹

Elham Emadi ²

¹ 2. Instructor in Chemical Industries, Department of Chemical, Petroleum and Gas Engineering, National University of Skills(NUS), Tehran, Iran

² 1. PhD Graduate, Department of Physics, Sahand University of Technology, Tabriz, Iran

10.22034/joae.2025.476994.1244

Abstract

In this paper, we investigate arbitrary amplitude dust acoustic (DA) solitary waves in four-component quantum dusty plasma, comprising mobile positive/negative dust grains, ions, and inertialess positrons and electrons, using the quantum hydrodynamic (QHD) model. Employing the Sagdeev potential technique, we derive the necessary conditions for the existence of solitary wave solutions and determine the lower and upper bounds of the Mach number (M). A numerical analysis of the Sagdeev potential reveals the existence of both rarefactive and compressive solitary waves. Our results demonstrate that increasing the Mach number enhances the amplitude and width of DA solitary waves, while varying the electron-to-ion Fermi temperature ratio (σ) produces distinct effects on rarefactive and compressive waves. These findings contribute to a deeper understanding of nonlinear wave dynamics in quantum plasmas, with potential implications for aerospace applications, including supersonic flows and spacecraft navigation/communication systems. Notably, the influence of the Mach number on wave characteristics is critical for optimizing structural and flight system designs in plasma-rich environments.

Keywords

Dust acoustic waves

Quantum dusty plasma

Mach number

Compressive and rarefactive solitary waves

Aerospace plasma environments

Subjects