Diving into plasma physics: dynamical behaviour of nonlinear waves in (3 + 1)-D extended quantum Zakharov–Kuznetsov equation

• Published in: Optical and quantum electronics 2024-07, Vol.56 (8), Article 1336
• Main Authors: Rehman, Hamood Ur, Aljohani, A. F., Althobaiti, Ali, Althobaiti, Saad, Iqbal, Ifrah
• Format: Article
• Language: English
• Subjects: Characterization and Evaluation of Materials; Computer Communication Networks; Electrical Engineering; Lasers; Nonlinear evolution equations; Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Plasma physics; Solitary waves
• ISSN: 1572-817X; 0306-8919; 1572-817X
• DOI: 10.1007/s11082-024-07244-3

This study examines the (3 + 1) dimensional extended quantum Zakharov–Kuznetsov equation in weakly nonlinear ion-acoustic phenomena and quantum electron-positron-ion magneto plasma. For accomplishing this goal, two distinct mathematical approaches namely new mapping method and new Kudryashov’s method are fashioned. These solutions encompass dark, bright, singular, periodic singular, and some other rational solutions. Graphical depictions of some obtained solutions by 2D, 3D and contour plots meticulously crafted within figures offered profound insights into the deep physical appearances of the structures under examination. Our outcomes highlight that the proposed methods assist as an efficient and inclusive approaches to discover the solitons for the present model. The comparison with previous papers highlights that the methods employed in our study are being utilized for the first time within the context of the extended quantum Zakharov–Kuznetsov equation which underscores the novelty of our paper. By retaining these two methods, we not only boost our consideration of the dynamical behavior of these kind of models but also provide a useful tool for finding specific soliton solutions of nonlinear evolution equations.