Propagation features of head-on collision dust acoustic solitary waves in four-component quantum plasmas

• Published in: Waves in random and complex media Vol. 30; no. 4; pp. 704 - 721
• Main Authors: El-Hanbaly, A. M., Abulwafa, Essam M., Darweesh, H. F.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 01-10-2020; Taylor & Francis Ltd
• Subjects: 52.27.Cm; 52.27.Lw; 52.35.Mw; 52.35.Sb; Acoustic propagation; Acoustic properties; Collision dynamics; Dust; Dusty plasmas; Four-component dusty plasma; head-on collision; Korteweg-de Vries equation; Mechanical properties; Parameters; Physical properties; Poincaré- Lighthill-Kuo perturbation technique; Quantum mechanics; quantum plasma; Solitary waves; Space plasmas; Wave propagation
• ISSN: 1745-5030; 1745-5049
• DOI: 10.1080/17455030.2018.1555382

In framework of the extended Poincaré-Lighthill-Kuo, the properties of dust acoustic (DA) solitary wave's interaction are investigated in four-component quantum dusty plasma. Two Korteweg-de Vries equations describing the colliding DA solitary waves are derived by eliminating the secularities. By knowing the explicit form of the solitary wave solutions, the leading phase changes, trajectories and phase shifts are obtained, accordingly. The effects of various physical parameters such as the quantum mechanical parameters, the charge ratio between positive and negative dust particles, the mass ratio between negative and positive dust particles and the ratio of electron to ion temperatures are studied extensively. Our findings showed that these parameters play a significant role on the characteristics and basic features of DA solitary waves such as phase shifts in trajectories due to collision. The obtained results may be beneficial to understand well the collision of DA solitary waves that may occur in laboratory plasmas, space plasma as well as in plasma applications.