https://doi.org/10.1140/epjd/s10053-025-01088-6
Research - Plasmas
Ion-acoustic waves and stability analysis in magnetized dusty plasma with combined Kappa–Cairns-distributed electrons
1
Department of Mathematics, Jadavpur University, 700032, Kolkata, India
2
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 600127, Chennai, India
3
Department of Mathematics (DODL), University of Kalyani, 741235, Kalyani, India
Received:
17
July
2025
Accepted:
24
October
2025
Published online:
7
November
2025
Considering a combined Kappa–Cairns electron distribution, we have analytically explored the nonlinear dynamics of ion-acoustic solitary waves in a magnetized electron–ion–dusty plasma, encompassing both suprathermal and nonthermal aspects to provide a more realistic characterization. The Korteweg–de Vries–Zakharov–Kuznetsov (KdV–ZK) equation is developed by employing the reductive perturbation approach. The nonlinear coefficient of KdV–ZK equation disappears for certain parametric curves, resulting in modified KdV–ZK equation. The soliton solutions are derived for each case and the consequences of key physical parameters on soliton characteristics are numerically investigated. The small-k perturbation expansion approach is used to investigate the stability of solitary solutions. The numerical research on the impacts of the parameters associated with this system on the growth rate of instability predicts that the enhancements of the propagation angle and the ion gyro-frequency lead to the shrinkage of the maximum growth rate of instability. On the other hand, the enhancements of the suprathermal and nonthermal parameters associated with electron’s distribution lead to the shrinkage of the maximum growth rate of instability. Understanding wave propagation and stability in space and astrophysical dusty plasmas, such as the solar wind, magnetosheath, and wider heliospheric regions, may be improved by the present research.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
