https://doi.org/10.1140/epjd/s10053-024-00941-4
Regular Article - Plasma Physics
Small amplitude ion-acoustic waves in electron-ion dusty plasma: Landau damping effects of combined Kappa–Cairns distributed electrons
1
Department of Mathematics, Jadavpur University, 700032, Kolkata, India
2
Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 600127, Chennai, India
3
Department of Mathematics, Guru Ghasidas Vishwavidyalaya, 495009, Bilaspur, India
Received:
16
September
2024
Accepted:
25
November
2024
Published online:
16
December
2024
Korteweg–de Vries (KdV) equation with the influence of Landau damping of electrons is developed to explore the weakly nonlinear and weakly dispersive ion-acoustic waves in a non-collisional unmagnetized plasma system whose constituents are adiabatic warm ions, negative-charged immobile dust grains and combined Kappa–Cairns distributed electrons. It is found that the nonlinear coefficient of the KdV equation vanishes along different parametric curves in the parametric space. In this situation, a modified KdV equation with the Landau damping effect is obtained to demonstrate the nonlinear propagation of the ion-acoustic waves. By employing multiple time scale method, the solitary wave solutions of these equations are derived. The solitary wave’s amplitudes have been noticed to decay gradually over time.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024
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.
