Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma

• Published in: Results in physics 2024-04, Vol.59, p.107533, Article 107533
• Main Authors: Iqbal, Mujahid, Lu, Dianchen, Seadawy, Aly R., Zhang, Zhengdi
• Format: Article
• Language: English
• Subjects: Dust acoustic solitary waves; Extended simple equation technique; Periodic solitons; Reductive perturbation technique; The damped modified Korteweg–de Vries equation
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2024.107533

In this article, the nonlinear plasma model known the damped modified Korteweg–de Vries equation under consideration on the base of analytical technique to know the novel behavior of this nonlinear model. We formulated the nonlinear plasma model by utilizing the RP (reductive perturbation) technique with basic set of fluid system which consisted on cold negative charge dust fluid, immobile background neutral charges, positive charge ion fluid, fast (ionized) electrons and thermally electrons. We also constructed various kinds of novel soliton solutions including kink wave solitons, periodic solitary waves, anti-kink wave solitons for the damped modified KdV equation. The determined soliton solutions are novel, interested and did not determined in the previous research. The physical interpretation of demonstrated solutions represent in contour, two-dim and three-dim with computational software. The study prove that our proposed approach is powerful, efficient and can also be fruitful for study of other nonlinear models. •The dynamic characteristics of the dusty plasma.•Nonlinear behavior of dust acoustic periodic soliton structures.•The qualitative analysis, bifurcation and computational methods are applied.